MinT - Information on Result #3010187

Information on Result #3010187

Linear OOA(2²⁵⁴, 82, F₂, 8, 118) (dual of [(82, 8), 402, 119]-NRT-code), using strength reduction based on linear OOA(2²⁵⁴, 82, F₂, 8, 121) (dual of [(82, 8), 402, 122]-NRT-code), using

constructionÂ X applied to AG(8;F,510P) âŠ‚ AG(8;F,523P) [i] based on
1. linear OOA(2²⁴², 79, F₂, 8, 121) (dual of [(79, 8), 390, 122]-NRT-code), using algebraic-geometric NRT-code AG(8;F,510P) [i] based on function field F/F₂ with g(F) = 121 and N(F) ≥ 80, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2²²⁹, 79, F₂, 8, 108) (dual of [(79, 8), 403, 109]-NRT-code), using algebraic-geometric NRT-code AG(8;F,523P) [i] based on function field F/F₂ with g(F) = 121 and N(F) ≥ 80 (see above)
3. linear OOA(2¹², 3, F₂, 8, 12) (dual of [(3, 8), 12, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(8;12,2) [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.