MinT - Information on Result #990580

Information on Result #990580

Linear OOA(64⁸⁵, 261, F₆₄, 3, 47) (dual of [(261, 3), 698, 48]-NRT-code), using OOA 2-folding based on linear OOA(64⁸⁵, 522, F₆₄, 2, 47) (dual of [(522, 2), 959, 48]-NRT-code), using

constructionÂ X applied to AG(2;F,976P) âŠ‚ AG(2;F,987P) [i] based on
1. linear OOA(64⁷⁵, 512, F₆₄, 2, 47) (dual of [(512, 2), 949, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,976P) [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(64⁶⁴, 512, F₆₄, 2, 36) (dual of [(512, 2), 960, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,987P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OOA(64¹⁰, 10, F₆₄, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64¹⁰, 64, F₆₄, 2, 10) (dual of [(64, 2), 118, 11]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;118,64) [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.