Tiếng Việt: Observe the field
Tiếng Việt: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
Tiếng Việt: INPUT / Current workCOMPANY & ORIGIN
Tiếng Việt: Turn mathematics into
Tiếng Việt: software that works
Tiếng Việt: in the field.
Tiếng Việt: 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
- Tiếng Việt: January 6, 2022
- BASE
- Tiếng Việt: Usa City, Oita Prefecture
- FOCUS
- Tiếng Việt: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusTiếng Việt: Mathematical systems development
Canonical pageTiếng Việt: The new company profile is handled at /about/.
Tiếng Việt: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
Tiếng Việt: Before building, make the problem solvable.
Tiếng Việt: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
Tiếng Việt: Separate constraints and goals
Tiếng Việt: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
Tiếng Việt: MODEL / Constraints and evaluationTiếng Việt: Implement a usable system
Tiếng Việt: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
Tiếng Việt: OUTPUT / Operating system
OUR PURPOSE
Tiếng Việt: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
Tiếng Việt: Finite Field means a finite mathematical field.
Tiếng Việt: 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
Tiếng Việt: Limited elements. Consistent rules. Results that stay inside the set.
Tiếng Việt: 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.
01Tiếng Việt: Finite elements
Tiếng Việt: The number of elements is a prime or a power of a prime.
02Tiếng Việt: Closed under operations
Tiếng Việt: Results return to elements in the same field.
03Tiếng Việt: Inverses exist
Tiếng Việt: Every nonzero element has a multiplicative inverse.
Tiếng Việt: Important
Tiếng Việt: 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
F5Tiếng Việt: Try finite-field calculation
+
=
Tiếng Việt: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
Tiếng Việt: See limited resources
Tiếng Việt: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
Tiếng Việt: Make rules consistent
Tiếng Việt: We organize business rules including exceptions so contradictions and priorities can be reviewed.
Tiếng Việt: Make results reproducible
Tiếng Việt: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
Tiếng Việt: From mathematical models to business screens.
Tiếng Việt: 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 / MODELTiếng Việt: What must be kept and what should improve
Tiếng Việt: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVETiếng Việt: Search and compare candidates
Tiếng Việt: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDTiếng Việt: Enter, adjust, and share in the field
Tiếng Việt: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
Tiếng Việt: Be honest before being mathematical.
Tiếng Việt: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
Tiếng Việt: Start with field language
Tiếng Việt: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
Tiếng Việt: Field to conditionsTiếng Việt: Results with reasons
Tiếng Việt: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
Tiếng Việt: Result to evidenceTiếng Việt: Verify small before growing
Tiếng Việt: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
Tiếng Việt: Hypothesis to verificationTiếng Việt: Implement usability too
Tiếng Việt: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
Tiếng Việt: Logic to adoptionWE SAYTiếng Việt: Organize conditions and create comparable plans
WE SHOWTiếng Việt: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMTiếng Việt: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
Tiếng Việt: Deepening from implementation strength into mathematics.
Tiếng Việt: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
Tiếng Việt: Finite Field, K.K. established
Tiếng Việt: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
IMPLEMENTATION
Tiếng Việt: Complex operations into usable screens
Tiếng Việt: We have built systems that connect data and operations, including ordering, visit availability, and unmanned sales workflows.
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
Tiếng Việt: Toward automation of planning and assignment
Tiếng Việt: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
FROM CODE TO FIELD
Tiếng Việt: Show working assets, not only philosophy.
Tiếng Việt: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
Tiếng Việt: Mathematical demos
Tiếng Việt: Change conditions and review results and unresolved points.
Tiếng Việt: Try 02 / CASESTiếng Việt: Case studies
Tiếng Việt: Implemented functions and confirmed changes are separated.
Tiếng Việt: Read 03 / SECURITYTiếng Việt: Data handling
Tiếng Việt: Receipt, retention, external AI, deletion, and responsibility are explained.
Tiếng Việt: Check 04 / RESEARCHMath Lab
Tiếng Việt: Research-stage technology is separated from completed products.
Tiếng Việt: ViewCOMPANY PROFILE
Finite Field, K.K.
Tiếng Việt: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANTiếng Việt: Usa City, Oita Prefecture
FINITE FIELDTiếng Việt: Usa City, Oita Prefecture
BASE / JAPAN
Tiếng Việt: From a regional base, we use software to address complex operational problems.
- Tiếng Việt: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- Tiếng Việt: Japanese name
- 株式会社ファイナイトフィールド
- Tiếng Việt: Address
- 879-0151 Oita, Usa, Miyaguma 550, Nhật Bản
- Tiếng Việt: Established
- Tiếng Việt: January 6, 2022
- Tiếng Việt: Capital
- Tiếng Việt: JPY 3,000,000
- Tiếng Việt: Officers
- Giám đốc đại diện Toshiya Kazuyoshi Lãnh đạo Yoshie Kazuyoshi Lãnh đạo Hikaru Ono
- Tiếng Việt: Major client
- Matsuhisa Japan Co., Ltd.
- Tiếng Việt: Business domains
- Tiếng Việt: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
Tiếng Việt: 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
Tiếng Việt: About the company and the name
Tiếng Việt: A short explanation of the relationship between a mathematical term and the actual service.
01Tiếng Việt: What is a finite field?
Tiếng Việt: 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.
02Tiếng Việt: How does the name relate to business systems?
Tiếng Việt: 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.
03Tiếng Việt: Can we start with a mathematical consultation only?
Tiếng Việt: 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.
04Tiếng Việt: Can you develop the actual system too?
Tiếng Việt: 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
Tiếng Việt: What does your team think through every time?
Tiếng Việt: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.