MinT - Information on Result #1048803

Information on Result #1048803

Linear OOA(8¹⁶⁰, 1032, F₈, 3, 46) (dual of [(1032, 3), 2936, 47]-NRT-code), using trace code based on linear OOA(64⁸⁰, 516, F₆₄, 3, 46) (dual of [(516, 3), 1468, 47]-NRT-code), using

constructionÂ X applied to AG(3;F,1489P) âŠ‚ AG(3;F,1496P) [i] based on
1. linear OOA(64⁷⁴, 512, F₆₄, 3, 46) (dual of [(512, 3), 1462, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1489P) [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(64⁶⁷, 512, F₆₄, 3, 39) (dual of [(512, 3), 1469, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1496P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OOA(64⁶, 4, F₆₄, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64⁶, 64, F₆₄, 3, 6) (dual of [(64, 3), 186, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;186,64) [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.