עברית: Observe the field
עברית: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
עברית: INPUT / Current workCOMPANY & ORIGIN
עברית: Turn mathematics into
עברית: software that works
עברית: in the field.
עברית: 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
- עברית: January 6, 2022
- BASE
- עברית: Usa City, Oita Prefecture
- FOCUS
- עברית: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusעברית: Mathematical systems development
Canonical pageעברית: The new company profile is handled at /about/.
עברית: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
עברית: Before building, make the problem solvable.
עברית: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
עברית: Separate constraints and goals
עברית: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
עברית: MODEL / Constraints and evaluationעברית: Implement a usable system
עברית: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
עברית: OUTPUT / Operating system
OUR PURPOSE
עברית: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
עברית: Finite Field means a finite mathematical field.
עברית: 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
עברית: Limited elements. Consistent rules. Results that stay inside the set.
עברית: 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.
01עברית: Finite elements
עברית: The number of elements is a prime or a power of a prime.
02עברית: Closed under operations
עברית: Results return to elements in the same field.
03עברית: Inverses exist
עברית: Every nonzero element has a multiplicative inverse.
עברית: Important
עברית: 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
F5עברית: Try finite-field calculation
+
=
עברית: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
עברית: See limited resources
עברית: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
עברית: Make rules consistent
עברית: We organize business rules including exceptions so contradictions and priorities can be reviewed.
עברית: Make results reproducible
עברית: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
עברית: From mathematical models to business screens.
עברית: 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 / MODELעברית: What must be kept and what should improve
עברית: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVEעברית: Search and compare candidates
עברית: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDעברית: Enter, adjust, and share in the field
עברית: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
עברית: Be honest before being mathematical.
עברית: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
עברית: Start with field language
עברית: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
עברית: Field to conditionsעברית: Results with reasons
עברית: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
עברית: Result to evidenceעברית: Verify small before growing
עברית: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
עברית: Hypothesis to verificationעברית: Implement usability too
עברית: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
עברית: Logic to adoptionWE SAYעברית: Organize conditions and create comparable plans
WE SHOWעברית: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMעברית: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
עברית: Deepening from implementation strength into mathematics.
עברית: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
עברית: Finite Field, K.K. established
עברית: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
עברית: Toward automation of planning and assignment
עברית: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
FROM CODE TO FIELD
עברית: Show working assets, not only philosophy.
עברית: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
עברית: Mathematical demos
עברית: Change conditions and review results and unresolved points.
עברית: Try 02 / CASESעברית: Case studies
עברית: Implemented functions and confirmed changes are separated.
עברית: Read 03 / SECURITYעברית: Data handling
עברית: Receipt, retention, external AI, deletion, and responsibility are explained.
עברית: Check 04 / RESEARCHMath Lab
עברית: Research-stage technology is separated from completed products.
עברית: ViewCOMPANY PROFILE
Finite Field, K.K.
עברית: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANעברית: Usa City, Oita Prefecture
FINITE FIELDעברית: Usa City, Oita Prefecture
BASE / JAPAN
עברית: From a regional base, we use software to address complex operational problems.
- עברית: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- עברית: Japanese name
- 株式会社ファイナイトフィールド
- עברית: Address
- 879-0151 Oita, Usa, Miyaguma 550, יפן
- עברית: Established
- עברית: January 6, 2022
- עברית: Capital
- עברית: JPY 3,000,000
- עברית: Officers
- מנהל מייצג Toshiya Kazuyoshi נושאת משרה Yoshie Kazuyoshi נושא משרה Hikaru Ono
- עברית: Major client
- Matsuhisa Japan Co., Ltd.
- עברית: Business domains
- עברית: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
עברית: 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
עברית: About the company and the name
עברית: A short explanation of the relationship between a mathematical term and the actual service.
01עברית: What is a finite field?
עברית: 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.
02עברית: How does the name relate to business systems?
עברית: 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.
03עברית: Can we start with a mathematical consultation only?
עברית: 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.
04עברית: Can you develop the actual system too?
עברית: 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
עברית: What does your team think through every time?
עברית: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.