MinT - Information on Result #2724481

Information on Result #2724481

Linear OOA(256⁵⁴, 323, F₂₅₆, 3, 47) (dual of [(323, 3), 915, 48]-NRT-code), using strength reduction based on linear OOA(256⁵⁴, 323, F₂₅₆, 3, 48) (dual of [(323, 3), 915, 49]-NRT-code), using

constructionÂ X applied to AG(3;F,911P) âŠ‚ AG(3;F,916P) [i] based on
1. linear OOA(256⁵⁰, 320, F₂₅₆, 3, 48) (dual of [(320, 3), 910, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,911P) [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 OOA(256⁴⁵, 320, F₂₅₆, 3, 43) (dual of [(320, 3), 915, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,916P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)
3. linear OOA(256⁴, 3, F₂₅₆, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁴, 256, F₂₅₆, 3, 4) (dual of [(256, 3), 764, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;764,256) [i]

Mode: 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.