MinT - Information on Result #990603

Information on Result #990603

Linear OOA(64⁹⁰, 263, F₆₄, 3, 48) (dual of [(263, 3), 699, 49]-NRT-code), using OOA 2-folding based on linear OOA(64⁹⁰, 526, F₆₄, 2, 48) (dual of [(526, 2), 962, 49]-NRT-code), using

constructionÂ X applied to AG(2;F,975P) âŠ‚ AG(2;F,990P) [i] based on
1. linear OOA(64⁷⁶, 512, F₆₄, 2, 48) (dual of [(512, 2), 948, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,975P) [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(64⁶¹, 512, F₆₄, 2, 33) (dual of [(512, 2), 963, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,990P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OOA(64¹⁴, 14, F₆₄, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64¹⁴, 64, F₆₄, 2, 14) (dual of [(64, 2), 114, 15]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;114,64) [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.