ไทย: Observe the field
ไทย: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
ไทย: INPUT / Current workCOMPANY & ORIGIN
ไทย: Turn mathematics into
ไทย: software that works
ไทย: in the field.
ไทย: 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
- ไทย: January 6, 2022
- BASE
- ไทย: Usa City, Oita Prefecture
- FOCUS
- ไทย: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusไทย: Mathematical systems development
Canonical pageไทย: The new company profile is handled at /about/.
ไทย: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
ไทย: Before building, make the problem solvable.
ไทย: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
ไทย: Separate constraints and goals
ไทย: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
ไทย: MODEL / Constraints and evaluationไทย: Implement a usable system
ไทย: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
ไทย: OUTPUT / Operating system
OUR PURPOSE
ไทย: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
ไทย: Finite Field means a finite mathematical field.
ไทย: 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
ไทย: Limited elements. Consistent rules. Results that stay inside the set.
ไทย: 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.
01ไทย: Finite elements
ไทย: The number of elements is a prime or a power of a prime.
02ไทย: Closed under operations
ไทย: Results return to elements in the same field.
03ไทย: Inverses exist
ไทย: Every nonzero element has a multiplicative inverse.
ไทย: Important
ไทย: 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
F5ไทย: Try finite-field calculation
+
=
ไทย: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
ไทย: See limited resources
ไทย: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
ไทย: Make rules consistent
ไทย: We organize business rules including exceptions so contradictions and priorities can be reviewed.
ไทย: Make results reproducible
ไทย: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
ไทย: From mathematical models to business screens.
ไทย: 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 / MODELไทย: What must be kept and what should improve
ไทย: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVEไทย: Search and compare candidates
ไทย: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDไทย: Enter, adjust, and share in the field
ไทย: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
ไทย: Be honest before being mathematical.
ไทย: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
ไทย: Start with field language
ไทย: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
ไทย: Field to conditionsไทย: Results with reasons
ไทย: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
ไทย: Result to evidenceไทย: Verify small before growing
ไทย: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
ไทย: Hypothesis to verificationไทย: Implement usability too
ไทย: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
ไทย: Logic to adoptionWE SAYไทย: Organize conditions and create comparable plans
WE SHOWไทย: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMไทย: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
ไทย: Deepening from implementation strength into mathematics.
ไทย: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
ไทย: Finite Field, K.K. established
ไทย: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
ไทย: Toward automation of planning and assignment
ไทย: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
VERIFY
ไทย: Researching ways to check correctness
ไทย: Theorem proving, formal verification, and inspectable calculation results are treated as research areas and clearly separated from production use.
FROM CODE TO FIELD
ไทย: Show working assets, not only philosophy.
ไทย: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
ไทย: Mathematical demos
ไทย: Change conditions and review results and unresolved points.
ไทย: Try 02 / CASESไทย: Case studies
ไทย: Implemented functions and confirmed changes are separated.
ไทย: Read 03 / SECURITYไทย: Data handling
ไทย: Receipt, retention, external AI, deletion, and responsibility are explained.
ไทย: Check 04 / RESEARCHMath Lab
ไทย: Research-stage technology is separated from completed products.
ไทย: ViewCOMPANY PROFILE
Finite Field, K.K.
ไทย: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANไทย: Usa City, Oita Prefecture
FINITE FIELDไทย: Usa City, Oita Prefecture
BASE / JAPAN
ไทย: From a regional base, we use software to address complex operational problems.
- ไทย: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- ไทย: Japanese name
- 株式会社ファイナイトフィールド
- ไทย: Address
- 879-0151 Oita, Usa, Miyaguma 550, ญี่ปุ่น
- ไทย: Established
- ไทย: January 6, 2022
- ไทย: Capital
- ไทย: JPY 3,000,000
- ไทย: Officers
- กรรมการผู้แทน Toshiya Kazuyoshi ผู้บริหาร Yoshie Kazuyoshi ผู้บริหาร Hikaru Ono
- ไทย: Major client
- Matsuhisa Japan Co., Ltd.
- ไทย: Business domains
- ไทย: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
ไทย: 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
ไทย: About the company and the name
ไทย: A short explanation of the relationship between a mathematical term and the actual service.
01ไทย: What is a finite field?
ไทย: 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.
02ไทย: How does the name relate to business systems?
ไทย: 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.
03ไทย: Can we start with a mathematical consultation only?
ไทย: 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.
04ไทย: Can you develop the actual system too?
ไทย: 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
ไทย: What does your team think through every time?
ไทย: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.