MinT - Information on Result #1845938

Information on Result #1845938

OA(128³⁸, 331, S₁₂₈, 26), using discarding parts of the base based on linear OA(256³³, 331, F₂₅₆, 26) (dual of [331, 298, 27]-code), using

constructionÂ X applied to AG(F,293P) âŠ‚ AG(F,299P) [i] based on
1. linear OA(256²⁸, 320, F₂₅₆, 26) (dual of [320, 292, 27]-code), using algebraic-geometric code AG(F,293P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
  - sharp bound on the number of rational points on curves with genus 2 [i]
2. linear OA(256²², 320, F₂₅₆, 20) (dual of [320, 298, 21]-code), using algebraic-geometric code AG(F,299P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)
3. linear OA(256⁵, 11, F₂₅₆, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,256)), using
  - discarding factors / shortening the dual code based on linear OA(256⁵, 256, F₂₅₆, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
    - Reedâ€“Solomon code RS(251,256) [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.