MinT - Information on Result #839455

Information on Result #839455

Linear OOA(5¹³⁷, 88, F₅, 2, 71) (dual of [(88, 2), 39, 72]-NRT-code), using OOA 2-folding based on linear OA(5¹³⁷, 176, F₅, 71) (dual of [176, 39, 72]-code), using

discarding factors / shortening the dual code based on linear OA(5¹³⁷, 177, F₅, 71) (dual of [177, 40, 72]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25³⁹, 59, F₂₅, 35) (dual of [59, 20, 36]-code), using
    - discarding factors / shortening the dual code based on linear OA(25³⁹, 65, F₂₅, 35) (dual of [65, 26, 36]-code), using
      - algebraic-geometric code AG(F,29P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.