MinT - Information on Result #990640

Information on Result #990640

Linear OOA(64⁹⁰, 262, F₆₄, 3, 50) (dual of [(262, 3), 696, 51]-NRT-code), using OOA 2-folding based on linear OOA(64⁹⁰, 524, F₆₄, 2, 50) (dual of [(524, 2), 958, 51]-NRT-code), using

constructionÂ X applied to AG(2;F,973P) âŠ‚ AG(2;F,986P) [i] based on
1. linear OOA(64⁷⁸, 512, F₆₄, 2, 50) (dual of [(512, 2), 946, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,973P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
  - the Hermitian function field over F₆₄ [i]
2. linear OOA(64⁶⁵, 512, F₆₄, 2, 37) (dual of [(512, 2), 959, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OOA(64¹², 12, F₆₄, 2, 12) (dual of [(12, 2), 12, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64¹², 64, F₆₄, 2, 12) (dual of [(64, 2), 116, 13]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;116,64) [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.