ລາວ: Observe the field
ລາວ: We collect decisions from spreadsheets, paper, conversations, and experienced staff. Exceptions and hidden priorities are part of the actual operation.
ລາວ: INPUT / Current workCOMPANY & ORIGIN
ລາວ: Turn mathematics into
ລາວ: software that works
ລາວ: in the field.
ລາວ: 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
- ລາວ: January 6, 2022
- BASE
- ລາວ: Usa City, Oita Prefecture
- FOCUS
- ລາວ: From mathematical models to web and apps
INTERACTIVE / PRIME FIELDF5
2 x 3 = 6F5: 1
Legal nameFinite Field, K.K.
Business focusລາວ: Mathematical systems development
Canonical pageລາວ: The new company profile is handled at /about/.
ລາວ: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
WHY WE EXIST
ລາວ: Before building, make the problem solvable.
ລາວ: Operational problems do not start as formulas. We first turn human judgment, exceptions, and implicit priorities into conditions and objectives that can be compared.
ລາວ: Separate constraints and goals
ລາວ: We separate hard constraints from indicators to improve, making contradictions and missing data visible before calculation.
ລາວ: MODEL / Constraints and evaluationລາວ: Implement a usable system
ລາວ: We do not stop at a calculation result. Input, review, correction, and sharing are implemented as web and mobile apps.
ລາວ: OUTPUT / Operating system
OUR PURPOSE
ລາວ: We use mathematics to organize ambiguous judgment into systems that can be compared, explained, and used.
THE NAME
ລາວ: Finite Field means a finite mathematical field.
ລາວ: 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
ລາວ: Limited elements. Consistent rules. Results that stay inside the set.
ລາວ: 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.
01ລາວ: Finite elements
ລາວ: The number of elements is a prime or a power of a prime.
02ລາວ: Closed under operations
ລາວ: Results return to elements in the same field.
03ລາວ: Inverses exist
ລາວ: Every nonzero element has a multiplicative inverse.
ລາວ: Important
ລາວ: 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
F5ລາວ: Try finite-field calculation
+
=
ລາວ: For clarity, this demo shows prime fields Fp for prime p. General finite fields can also have p^n elements.
ລາວ: See limited resources
ລາວ: People, time, vehicles, machines, and budget. We search for plans that can actually run within real limits.
ລາວ: Make rules consistent
ລາວ: We organize business rules including exceptions so contradictions and priorities can be reviewed.
ລາວ: Make results reproducible
ລາວ: The path from inputs, constraints, and evaluation to the result should not depend only on one person’s intuition.
WHAT WE DO
ລາວ: From mathematical models to business screens.
ລາວ: 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 / MODELລາວ: What must be kept and what should improve
ລາວ: We organize constraints, objectives, priorities, exceptions, and feasibility.
02 / SOLVE
ALGORITHM
02 / SOLVEລາວ: Search and compare candidates
ລາວ: Optimization, search, rules, and simulation are combined when appropriate.
03 / BUILD
PRODUCT ENGINEERING
03 / BUILDລາວ: Enter, adjust, and share in the field
ລາວ: Web, iOS, Android, databases, permissions, and reports are implemented together.
INPUT
OUTPUT
OPERATING PRINCIPLES
ລາວ: Be honest before being mathematical.
ລາວ: We do not hide problems behind advanced terms or complex models. We separate what is unknown, not yet measured, and dependent on conditions.
ລາວ: Start with field language
ລາວ: We listen to actual work, decisions, and exceptions before applying terminology. A model is useful only when it explains the field.
ລາວ: Field to conditionsລາວ: Results with reasons
ລາວ: We do not stop at “the AI decided.” We show why a plan was chosen and what could not be satisfied.
ລາວ: Result to evidenceລາວ: Verify small before growing
ລາວ: Before production, we test the calculation on a small portion of real data. Reasons it cannot be solved are also findings.
ລາວ: Hypothesis to verificationລາວ: Implement usability too
ລາວ: We design for input, correction, smartphone use, and multilingual operation, not only calculation speed.
ລາວ: Logic to adoptionWE SAYລາວ: Organize conditions and create comparable plans
WE SHOWລາວ: Inputs, constraints, evaluation, and unresolved points
WE DO NOT CLAIMລາວ: Absolutely no bugs or always one unique optimum
COMPANY JOURNEY
ລາວ: Deepening from implementation strength into mathematics.
ລາວ: Experience building business systems, mobile apps, and multilingual services connects to planning, assignment, search, and verification.
2022.01.06FOUNDATION
FOUNDATION
ລາວ: Finite Field, K.K. established
ລາວ: Established in Usa City, Oita Prefecture, with a foundation for planning, building, and operating web, app, and business systems.
BUILDIMPLEMENTATION
IMPLEMENTATION
ລາວ: Complex operations into usable screens
ລາວ: We have built systems that connect data and operations, including ordering, visit availability, and unmanned sales workflows.
NOWMATHEMATICAL SYSTEMS
MATHEMATICAL SYSTEMS
ລາວ: Toward automation of planning and assignment
ລາວ: Shift planning, visit scheduling, routing, production planning, and assignment matching are now presented as core mathematical-systems domains.
R&DVERIFY
FROM CODE TO FIELD
ລາວ: Show working assets, not only philosophy.
ລາວ: A company page alone is not enough to judge capability. Demos, business screens, case studies, and security policies are available before consultation.
01 / DEMO
ລາວ: Mathematical demos
ລາວ: Change conditions and review results and unresolved points.
ລາວ: Try 02 / CASESລາວ: Case studies
ລາວ: Implemented functions and confirmed changes are separated.
ລາວ: Read 03 / SECURITYລາວ: Data handling
ລາວ: Receipt, retention, external AI, deletion, and responsibility are explained.
ລາວ: Check 04 / RESEARCHMath Lab
ລາວ: Research-stage technology is separated from completed products.
ລາວ: ViewCOMPANY PROFILE
Finite Field, K.K.
ລາວ: Based in Usa City, Oita Prefecture, we design and build mathematical models, algorithms, web systems, and mobile apps.
BASE / JAPANລາວ: Usa City, Oita Prefecture
FINITE FIELDລາວ: Usa City, Oita Prefecture
BASE / JAPAN
ລາວ: From a regional base, we use software to address complex operational problems.
- ລາວ: Legal name
- Finite Field, K.K. / 株式会社ファイナイトフィールド
- ລາວ: Japanese name
- 株式会社ファイナイトフィールド
- ລາວ: Address
- 879-0151 Oita, Usa, Miyaguma 550, ຍີ່ປຸ່ນ
- ລາວ: Established
- ລາວ: January 6, 2022
- ລາວ: Capital
- ລາວ: JPY 3,000,000
- ລາວ: Officers
- ຜູ້ອໍານວຍການຕົວແທນ Toshiya Kazuyoshi ເຈົ້າໜ້າທີ່ Yoshie Kazuyoshi ເຈົ້າໜ້າທີ່ Hikaru Ono
- ລາວ: Major client
- Matsuhisa Japan Co., Ltd.
- ລາວ: Business domains
- ລາວ: Mathematical systems development Web and mobile app development Business systems and R&D
INFORMATION POLICY
ລາວ: 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
ລາວ: About the company and the name
ລາວ: A short explanation of the relationship between a mathematical term and the actual service.
01ລາວ: What is a finite field?
ລາວ: 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.
02ລາວ: How does the name relate to business systems?
ລາວ: 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.
03ລາວ: Can we start with a mathematical consultation only?
ລາວ: 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.
04ລາວ: Can you develop the actual system too?
ລາວ: 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
ລາວ: What does your team think through every time?
ລາວ: Shifts, visits, routes, production, and assignments. We start from your current spreadsheets and rules to identify what can be modeled.