MinT - Information on Result #990533

Information on Result #990533

Linear OOA(64⁷⁹, 259, F₆₄, 3, 45) (dual of [(259, 3), 698, 46]-NRT-code), using OOA 2-folding based on linear OOA(64⁷⁹, 518, F₆₄, 2, 45) (dual of [(518, 2), 957, 46]-NRT-code), using

constructionÂ X applied to AG(2;F,978P) âŠ‚ AG(2;F,985P) [i] based on
1. linear OOA(64⁷³, 512, F₆₄, 2, 45) (dual of [(512, 2), 951, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,978P) [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(64⁶⁶, 512, F₆₄, 2, 38) (dual of [(512, 2), 958, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,985P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OOA(64⁶, 6, F₆₄, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64⁶, 64, F₆₄, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;122,64) [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.