MinT - Information on Result #2502893

Information on Result #2502893

Linear OOA(4²⁶⁰, 149, F₄, 2, 156) (dual of [(149, 2), 38, 157]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4²⁵⁶, 147, F₄, 2, 156) (dual of [(147, 2), 38, 157]-NRT-code), using

2 step truncation [i] based on linear OOA(4²⁵⁸, 148, F₄, 2, 158) (dual of [(148, 2), 38, 159]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16⁵⁵, 37, F₁₆, 2, 52) (dual of [(37, 2), 19, 53]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16⁵⁵, 38, F₁₆, 2, 52) (dual of [(38, 2), 21, 53]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,23P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
  2. linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
    - Reedâ€“Solomon code RS(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.