Bahasa Melayu: Observe the field
Bahasa Melayu: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
Bahasa Melayu: INPUT / Current workCOMPANY & ORIGIN
Bahasa Melayu: Turn mathematics into
Bahasa Melayu: software that works
Bahasa Melayu: in the field.
Bahasa Melayu: Finite Field is named after the mathematical structure known as a finite field. We organize complex conditions into consistent models and implement them as web and app systems people can use every day.
- FOUNDED
- Bahasa Melayu: January 6, 2022
- BASE
- Bahasa Melayu: Usa City, Oita Prefecture
- FOCUS
- Bahasa Melayu: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusBahasa Melayu: Mathematical systems development
Canonical pageBahasa Melayu: The new company profile is handled at /about/.
Bahasa Melayu: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
Bahasa Melayu: Before building, make the problem solvable.
Bahasa Melayu: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
Bahasa Melayu: Separate constraints and goals
Bahasa Melayu: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
Bahasa Melayu: MODEL / Constraints and evaluationBahasa Melayu: Implement a usable system
Bahasa Melayu: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
Bahasa Melayu: OUTPUT / Operating system
OUR PURPOSE
Bahasa Melayu: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
Bahasa Melayu: Finite Field means a finite mathematical field.
Bahasa Melayu: A finite field is a mathematical structure with a finite number of elements where addition, subtraction, multiplication, and division except by zero are defined. It is important in cryptography, error-correcting codes, and computer science.
DEFINITION / PLAIN LANGUAGE
Bahasa Melayu: Limited elements. Consistent rules. Results that stay inside the set.
Bahasa Melayu: In F5, the elements are 0, 1, 2, 3, and 4. After ordinary calculation, the remainder modulo 5 is used. That is why 2 × 3 becomes 1 rather than 6.
01Bahasa Melayu: Finite elements
Bahasa Melayu: The number of elements is a prime or a power of a prime.
02Bahasa Melayu: Closed under operations
Bahasa Melayu: Results return to elements in the same field.
03Bahasa Melayu: Inverses exist
Bahasa Melayu: Every nonzero element has a multiplicative inverse.
Bahasa Melayu: Important
Bahasa Melayu: This does not mean that business operations are literally finite fields. The connection here is a company metaphor for how we work.
INTERACTIVE / PRIME FIELD
F5Bahasa Melayu: Try finite-field calculation
+
=
Bahasa Melayu: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
Bahasa Melayu: See limited resources
Bahasa Melayu: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
Bahasa Melayu: Make rules consistent
Bahasa Melayu: We organize business rules including exceptions so contradictions and priorities can be reviewed.
Bahasa Melayu: Make results reproducible
Bahasa Melayu: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
Bahasa Melayu: From mathematical models to business screens.
Bahasa Melayu: We are not only a mathematical consulting team, and not only a general contract developer. We design the decision logic and the software used every day as one system.
01 / MODEL
MATHEMATICAL MODEL
01 / MODELBahasa Melayu: What must be kept and what should improve
Bahasa Melayu: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVEBahasa Melayu: Search and compare candidates
Bahasa Melayu: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDBahasa Melayu: Enter, adjust, and share in the field
Bahasa Melayu: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
Bahasa Melayu: Be honest before being mathematical.
Bahasa Melayu: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
Bahasa Melayu: Start with field language
Bahasa Melayu: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
Bahasa Melayu: Field to conditionsBahasa Melayu: Results with reasons
Bahasa Melayu: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
Bahasa Melayu: Result to evidenceBahasa Melayu: Verify small before growing
Bahasa Melayu: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
Bahasa Melayu: Hypothesis to verificationBahasa Melayu: Implement usability too
Bahasa Melayu: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
Bahasa Melayu: Logic to adoptionWE SAYBahasa Melayu: Organize conditions and create comparable plans
WE SHOWBahasa Melayu: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMBahasa Melayu: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
Bahasa Melayu: Deepening from implementation strength into mathematics.
Bahasa Melayu: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
Bahasa Melayu: Finite Field, K.K. established
Bahasa Melayu: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
IMPLEMENTATION
Bahasa Melayu: Complex operations into usable screens
Bahasa Melayu: We have built systems that connect data and operations, including ordering, visit availability, and unmanned sales workflows.
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
Bahasa Melayu: Toward automation of planning and assignment
Bahasa Melayu: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
VERIFY
Bahasa Melayu: Researching ways to check correctness
Bahasa Melayu: Theorem proving, formal verification, and inspectable calculation results are treated as research areas and clearly separated from production use.
FROM CODE TO FIELD
Bahasa Melayu: Show working assets, not only philosophy.
Bahasa Melayu: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
Bahasa Melayu: Mathematical demos
Bahasa Melayu: Change conditions and review results and unresolved points.
Bahasa Melayu: Try 02 / CASESBahasa Melayu: Case studies
Bahasa Melayu: Implemented functions and confirmed changes are separated.
Bahasa Melayu: Read 03 / SECURITYBahasa Melayu: Data handling
Bahasa Melayu: Receipt, retention, external AI, deletion, and responsibility are explained.
Bahasa Melayu: Check 04 / RESEARCHMath Lab
Bahasa Melayu: Research-stage technology is separated from completed products.
Bahasa Melayu: ViewCOMPANY PROFILE
Finite Field, K.K.
Bahasa Melayu: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANBahasa Melayu: Usa City, Oita Prefecture
FINITE FIELDBahasa Melayu: Usa City, Oita Prefecture
BASE / JAPAN
Bahasa Melayu: From a regional base, we use software to address complex operational problems.
- Bahasa Melayu: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- Bahasa Melayu: Japanese name
- 株式会社ファイナイトフィールド
- Bahasa Melayu: Address
- 879-0151 Oita, Usa, Miyaguma 550, Jepun
- Bahasa Melayu: Established
- Bahasa Melayu: January 6, 2022
- Bahasa Melayu: Capital
- Bahasa Melayu: JPY 3,000,000
- Bahasa Melayu: Officers
- Pengarah wakil Toshiya Kazuyoshi Pegawai Yoshie Kazuyoshi Pegawai Hikaru Ono
- Bahasa Melayu: Major client
- Matsuhisa Japan Co., Ltd.
- Bahasa Melayu: Business domains
- Bahasa Melayu: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
Bahasa Melayu: Only information aligned with official company facts is shown. Unconfirmed employee count, sales, certification status, and similar claims are not listed.
PAGE DATA REVIEWED / 2026.06FAQ
Bahasa Melayu: About the company and the name
Bahasa Melayu: A short explanation of the relationship between a mathematical term and the actual service.
01Bahasa Melayu: What is a finite field?
Bahasa Melayu: A finite field is a mathematical structure with a finite number of elements. Addition, subtraction, multiplication, and division except by zero are defined, and the result stays inside the same set. This page visualizes prime fields Fp for prime p.
02Bahasa Melayu: How does the name relate to business systems?
Bahasa Melayu: It does not mean that business operations are literally finite fields. The name reflects how we work with limited resources, consistent rules, and reproducible results.
03Bahasa Melayu: Can we start with a mathematical consultation only?
Bahasa Melayu: Yes. We can begin by checking whether operational judgments, assignments, orders, and plans can be modeled. A small calculation prototype can verify the idea first.
04Bahasa Melayu: Can you develop the actual system too?
Bahasa Melayu: Yes. We design and build mathematical models, calculation logic, databases, web admin screens, and iOS and Android apps as one delivery path.
START WITH THE PROBLEM
Bahasa Melayu: What does your team think through every time?
Bahasa Melayu: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.