MinT - Information on Result #969823

Information on Result #969823

Linear OOA(4²⁵⁶, 123, F₄, 3, 107) (dual of [(123, 3), 113, 108]-NRT-code), using OOA 3-folding based on linear OA(4²⁵⁶, 369, F₄, 107) (dual of [369, 113, 108]-code), using

discarding factors / shortening the dual code based on linear OA(4²⁵⁶, 370, F₄, 107) (dual of [370, 114, 108]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁶, 74, F₆₄, 35) (dual of [74, 38, 36]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³⁶, 79, F₆₄, 35) (dual of [79, 43, 36]-code), using
      - algebraic-geometric code AG(F,43P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
  2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
    - extended Reedâ€“Solomon code RS_e(3,4) [i]
    - Hamming code H(2,4) [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.