Slovenščina: Observe the field
Slovenščina: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
Slovenščina: INPUT / Current workCOMPANY & ORIGIN
Slovenščina: Turn mathematics into
Slovenščina: software that works
Slovenščina: in the field.
Slovenščina: 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
- Slovenščina: January 6, 2022
- BASE
- Slovenščina: Usa City, Oita Prefecture
- FOCUS
- Slovenščina: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusSlovenščina: Mathematical systems development
Canonical pageSlovenščina: The new company profile is handled at /about/.
Slovenščina: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
Slovenščina: Before building, make the problem solvable.
Slovenščina: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
Slovenščina: Separate constraints and goals
Slovenščina: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
Slovenščina: MODEL / Constraints and evaluationSlovenščina: Implement a usable system
Slovenščina: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
Slovenščina: OUTPUT / Operating system
OUR PURPOSE
Slovenščina: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
Slovenščina: Finite Field means a finite mathematical field.
Slovenščina: 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
Slovenščina: Limited elements. Consistent rules. Results that stay inside the set.
Slovenščina: 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.
01Slovenščina: Finite elements
Slovenščina: The number of elements is a prime or a power of a prime.
02Slovenščina: Closed under operations
Slovenščina: Results return to elements in the same field.
03Slovenščina: Inverses exist
Slovenščina: Every nonzero element has a multiplicative inverse.
Slovenščina: Important
Slovenščina: 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
F5Slovenščina: Try finite-field calculation
+
=
Slovenščina: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
Slovenščina: See limited resources
Slovenščina: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
Slovenščina: Make rules consistent
Slovenščina: We organize business rules including exceptions so contradictions and priorities can be reviewed.
Slovenščina: Make results reproducible
Slovenščina: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
Slovenščina: From mathematical models to business screens.
Slovenščina: 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 / MODELSlovenščina: What must be kept and what should improve
Slovenščina: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVESlovenščina: Search and compare candidates
Slovenščina: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDSlovenščina: Enter, adjust, and share in the field
Slovenščina: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
Slovenščina: Be honest before being mathematical.
Slovenščina: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
Slovenščina: Start with field language
Slovenščina: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
Slovenščina: Field to conditionsSlovenščina: Results with reasons
Slovenščina: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
Slovenščina: Result to evidenceSlovenščina: Verify small before growing
Slovenščina: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
Slovenščina: Hypothesis to verificationSlovenščina: Implement usability too
Slovenščina: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
Slovenščina: Logic to adoptionWE SAYSlovenščina: Organize conditions and create comparable plans
WE SHOWSlovenščina: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMSlovenščina: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
Slovenščina: Deepening from implementation strength into mathematics.
Slovenščina: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
Slovenščina: Finite Field, K.K. established
Slovenščina: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
IMPLEMENTATION
Slovenščina: Complex operations into usable screens
Slovenščina: We have built systems that connect data and operations, including ordering, visit availability, and unmanned sales workflows.
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
Slovenščina: Toward automation of planning and assignment
Slovenščina: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
FROM CODE TO FIELD
Slovenščina: Show working assets, not only philosophy.
Slovenščina: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
Slovenščina: Mathematical demos
Slovenščina: Change conditions and review results and unresolved points.
Slovenščina: Try 02 / CASESSlovenščina: Case studies
Slovenščina: Implemented functions and confirmed changes are separated.
Slovenščina: Read 03 / SECURITYSlovenščina: Data handling
Slovenščina: Receipt, retention, external AI, deletion, and responsibility are explained.
Slovenščina: Check 04 / RESEARCHMath Lab
Slovenščina: Research-stage technology is separated from completed products.
Slovenščina: ViewCOMPANY PROFILE
Finite Field, K.K.
Slovenščina: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANSlovenščina: Usa City, Oita Prefecture
FINITE FIELDSlovenščina: Usa City, Oita Prefecture
BASE / JAPAN
Slovenščina: From a regional base, we use software to address complex operational problems.
- Slovenščina: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- Slovenščina: Japanese name
- 株式会社ファイナイトフィールド
- Slovenščina: Address
- 879-0151 Oita, Usa, Miyaguma 550, Japonska
- Slovenščina: Established
- Slovenščina: January 6, 2022
- Slovenščina: Capital
- Slovenščina: JPY 3,000,000
- Slovenščina: Officers
- Zastopni direktor Toshiya Kazuyoshi Vodja Yoshie Kazuyoshi Vodja Hikaru Ono
- Slovenščina: Major client
- Matsuhisa Japan Co., Ltd.
- Slovenščina: Business domains
- Slovenščina: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
Slovenščina: 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
Slovenščina: About the company and the name
Slovenščina: A short explanation of the relationship between a mathematical term and the actual service.
01Slovenščina: What is a finite field?
Slovenščina: 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.
02Slovenščina: How does the name relate to business systems?
Slovenščina: 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.
03Slovenščina: Can we start with a mathematical consultation only?
Slovenščina: 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.
04Slovenščina: Can you develop the actual system too?
Slovenščina: 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
Slovenščina: What does your team think through every time?
Slovenščina: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.