MinT - Information on Result #1848018

Information on Result #1848018

OOA(32⁸³, 259, S₃₂, 2, 54), using discarding parts of the base based on linear OOA(64⁶⁹, 259, F₆₄, 2, 54) (dual of [(259, 2), 449, 55]-NRT-code), using

constructionÂ X applied to AG(2;F,457P) âŠ‚ AG(2;F,461P) [i] based on
1. linear OOA(64⁶⁶, 256, F₆₄, 2, 54) (dual of [(256, 2), 446, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,457P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using
  - K_1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [i]
2. linear OOA(64⁶², 256, F₆₄, 2, 50) (dual of [(256, 2), 450, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,461P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257 (see above)
3. linear OOA(64³, 3, F₆₄, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64³, 64, F₆₄, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;125,64) [i]

Mode: Arbitrary.

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.