Тоҷикӣ: Observe the field
Тоҷикӣ: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
Тоҷикӣ: INPUT / Current workCOMPANY & ORIGIN
Тоҷикӣ: Turn mathematics into
Тоҷикӣ: software that works
Тоҷикӣ: in the field.
Тоҷикӣ: 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
- Тоҷикӣ: January 6, 2022
- BASE
- Тоҷикӣ: Usa City, Oita Prefecture
- FOCUS
- Тоҷикӣ: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusТоҷикӣ: Mathematical systems development
Canonical pageТоҷикӣ: The new company profile is handled at /about/.
Тоҷикӣ: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
Тоҷикӣ: Before building, make the problem solvable.
Тоҷикӣ: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
Тоҷикӣ: Separate constraints and goals
Тоҷикӣ: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
Тоҷикӣ: MODEL / Constraints and evaluationТоҷикӣ: Implement a usable system
Тоҷикӣ: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
Тоҷикӣ: OUTPUT / Operating system
OUR PURPOSE
Тоҷикӣ: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
Тоҷикӣ: Finite Field means a finite mathematical field.
Тоҷикӣ: 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
Тоҷикӣ: Limited elements. Consistent rules. Results that stay inside the set.
Тоҷикӣ: 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.
01Тоҷикӣ: Finite elements
Тоҷикӣ: The number of elements is a prime or a power of a prime.
02Тоҷикӣ: Closed under operations
Тоҷикӣ: Results return to elements in the same field.
03Тоҷикӣ: Inverses exist
Тоҷикӣ: Every nonzero element has a multiplicative inverse.
Тоҷикӣ: Important
Тоҷикӣ: 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
F5Тоҷикӣ: Try finite-field calculation
+
=
Тоҷикӣ: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
Тоҷикӣ: See limited resources
Тоҷикӣ: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
Тоҷикӣ: Make rules consistent
Тоҷикӣ: We organize business rules including exceptions so contradictions and priorities can be reviewed.
Тоҷикӣ: Make results reproducible
Тоҷикӣ: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
Тоҷикӣ: From mathematical models to business screens.
Тоҷикӣ: 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 / MODELТоҷикӣ: What must be kept and what should improve
Тоҷикӣ: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVEТоҷикӣ: Search and compare candidates
Тоҷикӣ: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDТоҷикӣ: Enter, adjust, and share in the field
Тоҷикӣ: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
Тоҷикӣ: Be honest before being mathematical.
Тоҷикӣ: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
Тоҷикӣ: Start with field language
Тоҷикӣ: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
Тоҷикӣ: Field to conditionsТоҷикӣ: Results with reasons
Тоҷикӣ: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
Тоҷикӣ: Result to evidenceТоҷикӣ: Verify small before growing
Тоҷикӣ: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
Тоҷикӣ: Hypothesis to verificationТоҷикӣ: Implement usability too
Тоҷикӣ: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
Тоҷикӣ: Logic to adoptionWE SAYТоҷикӣ: Organize conditions and create comparable plans
WE SHOWТоҷикӣ: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMТоҷикӣ: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
Тоҷикӣ: Deepening from implementation strength into mathematics.
Тоҷикӣ: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
Тоҷикӣ: Finite Field, K.K. established
Тоҷикӣ: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
IMPLEMENTATION
Тоҷикӣ: Complex operations into usable screens
Тоҷикӣ: We have built systems that connect data and operations, including ordering, visit availability, and unmanned sales workflows.
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
Тоҷикӣ: Toward automation of planning and assignment
Тоҷикӣ: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
FROM CODE TO FIELD
Тоҷикӣ: Show working assets, not only philosophy.
Тоҷикӣ: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
Тоҷикӣ: Mathematical demos
Тоҷикӣ: Change conditions and review results and unresolved points.
Тоҷикӣ: Try 02 / CASESТоҷикӣ: Case studies
Тоҷикӣ: Implemented functions and confirmed changes are separated.
Тоҷикӣ: Read 03 / SECURITYТоҷикӣ: Data handling
Тоҷикӣ: Receipt, retention, external AI, deletion, and responsibility are explained.
Тоҷикӣ: Check 04 / RESEARCHMath Lab
Тоҷикӣ: Research-stage technology is separated from completed products.
Тоҷикӣ: ViewCOMPANY PROFILE
Finite Field, K.K.
Тоҷикӣ: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANТоҷикӣ: Usa City, Oita Prefecture
FINITE FIELDТоҷикӣ: Usa City, Oita Prefecture
BASE / JAPAN
Тоҷикӣ: From a regional base, we use software to address complex operational problems.
- Тоҷикӣ: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- Тоҷикӣ: Japanese name
- 株式会社ファイナイトフィールド
- Тоҷикӣ: Address
- 879-0151 Oita, Usa, Miyaguma 550, Ҷопон
- Тоҷикӣ: Established
- Тоҷикӣ: January 6, 2022
- Тоҷикӣ: Capital
- Тоҷикӣ: JPY 3,000,000
- Тоҷикӣ: Officers
- Директори намоянда Toshiya Kazuyoshi Масъул Yoshie Kazuyoshi Масъул Hikaru Ono
- Тоҷикӣ: Major client
- Matsuhisa Japan Co., Ltd.
- Тоҷикӣ: Business domains
- Тоҷикӣ: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
Тоҷикӣ: 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
Тоҷикӣ: About the company and the name
Тоҷикӣ: A short explanation of the relationship between a mathematical term and the actual service.
01Тоҷикӣ: What is a finite field?
Тоҷикӣ: 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.
02Тоҷикӣ: How does the name relate to business systems?
Тоҷикӣ: 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.
03Тоҷикӣ: Can we start with a mathematical consultation only?
Тоҷикӣ: 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.
04Тоҷикӣ: Can you develop the actual system too?
Тоҷикӣ: 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
Тоҷикӣ: What does your team think through every time?
Тоҷикӣ: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.