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SAMSEGI

Mathematical model: solving the Hangul problem in the ICT sector

Korea in the IMD World Digital Competitiveness Ranking

  • 2023: Rise from 8th to 6th place
    Steady growth, confidence among domestic and foreign investors,
    long-term contracts, low cost of capital. Position maintained in 2024.
    6
  • 2025: Drop from 6th to 15th place
    Loss of top-10 status, declining confidence among domestic and foreign investors;
    a 9-point drop warrants a comprehensive review of conditions for all stakeholders.
    15

The Korean ICT Sector Anomaly

  • Global Ranking
    Korea consistently ranks in the top 20 of the IMD World Competitiveness Ranking.
  • Declining Confidence in ICT
    Over the past two years, Korea’s ICT sector has fallen from 6th to 15th place in the IMD ranking. A 9-point drop cannot be a coincidence.
  • Comparison and Dynamics
    China sits at 14th and continues to grow steadily despite a more complex language, a closed ecosystem, and unique regulatory constraints.

The Root Cause

Hangul is a combinatorial alphabet of consonant-vowel syllable blocks, created in 1443 as an efficient replacement for Chinese characters. Yet in the digital world it exists in three distinct, incomplete representations.

  • Current Encodings

    Unicode: NFC (11,172 sorted syllable-ideographs)
    and NFD (67 graphemes of partial decomposition);
    EUC-KR (2,350 unsorted syllable-ideographs)
    without representation of the atomic essence.

  • Existing Solutions

    High‑level tools built on top of these encodings are costly in terms of CPU cycles. Low‑level instruments such as C++ union are practically unused for Hangul.

Technical Manifestations of the Problem

  • Search
    Constant normalization (ICU)
    or other high‑level tools with a heavy cycle burden.
  • Input (IME)
    Dozens of open bugs in terminals and IDEs.
    The only alphabetic script that requires a mandatory external input method.
  • LLM/AI
    Token over‑consumption by a factor of 1.6–2.59×
    with worse response quality (EntropyMath).
  • IoT
    11,172 syllables, 67 graphemes, and 2,350 syllables exceed any alphabetic language in terms of volume and representation.
  • E-commerce
    Transliteration is a hard scientific problem,
    further aggravated by the technical representation.
  • The Accumulation of Problems
    Problems are investigated and solved in isolation.
    As a result, the cost of even basic tasks keeps rising.

Fixing the Defect Without Replacing Legacy Systems

SAMSEGI is a model for optimizing Hangul
processing and raising the efficiency of the ICT sector.

  • Legacy Repair

    SAMSEGI is a mathematical model that restores Hangul’s combinatorial nature: 33 number tags replace 11,172 syllable‑ideographs, 67 graphemes, and 2,350 syllable‑ideographs.

  • Code Optimization

    Any encoding (NFC, NFD, EUC‑KR, CP949) is converted into 5 graphemes in O(1) time,
    with no dynamic memory allocation
    and full numeric compatibility.

  • Technical Foundation

    The mathematical representation is compatible with C++98/11, supports SIMD,
    and enables internal lookup tables for maximum performance in any task.
Performance Comparison
Cycle cost of decomposing
10 million syllables (NFC) into 5 constituent letters.
Baseline: Unicode algorithmic = 100%. The comparison covers table‑based methods, pre‑computed tables,
and optimized SAMSEGI variants.
Results are shown as percentages.
  • Unicode
    All Methods
    Unicode algorithmic 100%
    Unicode tables 25%
    Unicode pre‑computed tables 14%
  • SAMSEGI-MATH -1-SYLLABLE
    Reference math model for verification and operation in any environment
    (NFD / NFC / EUC‑KR)
    120% of the Unicode baseline.
  • NFC-NFD-SAMSEGI
    SAMSEGI+NFD(Unicode) 80%
    NFD works immediately because computation proceeds via graphemes.
    *NFC requires a prior NFD decomposition.
  • SAMSEGI
    with tables
    SAMSEGI‑MATH‑1‑SYLLABLE and NFC‑NFD‑SAMSEGI with pre‑computed tables
    deliver 7% each.
    The fastest result.

Investment Perspective

SAMSEGI is exclusively a low‑level Hangul processing layer; it does not conflict with the OS, infrastructure,
or product‑level solutions.

  • Technology Integration

    Adoption via union or direct embedding into the product, enabling a planned optimization of high‑level tools so they can focus solely on high‑level tasks.

  • Economic Rationale

    At IMD rank 15: ~11% annual growth with access to cheap capital.
    High probability of falling to Japan‑level ICT performance (30th place and below): growth slows to 9% (–2% / $802M per year),
    while capital and liabilities become more expensive.

SAMSEGI: An Elegant Mathematical and Software Solution for Hangul

SAMSEGI improves quality, economic performance, and the investment attractiveness of your corporation. The approach effectively eliminates up to 80% of industry‑wide Hangul processing problems. File‑system‑level issues are addressed individually.
Pricing is determined on a per‑partner basis, taking into account business scale, presence in the Korean market, and the amount of legacy (EUC‑KR) integration required.
Contact us to discuss collaboration, and download the full report on the Digital Hangul Defect and its impact on the investment climate of the ICT sector.

Email: info@samsegi.com
Document

THE AUTHOR

Arsenii Gromov
Russian software developer
Independent Systems Architect & Mathematical Model Developer
Email:
samsegiproject@gmail.com | samsegiproject@daum.net

Wechat: samsegi
Kakaotalk: samsegiproject
Telegram: @samsegiproject

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