MinT - Information on Result #3010130

Information on Result #3010130

Linear OOA(2²⁵³, 82, F₂, 8, 119) (dual of [(82, 8), 403, 120]-NRT-code), using strength reduction based on linear OOA(2²⁵³, 82, F₂, 8, 120) (dual of [(82, 8), 403, 121]-NRT-code), using

constructionÂ X applied to AG(8;F,511P) âŠ‚ AG(8;F,524P) [i] based on
1. linear OOA(2²⁴¹, 79, F₂, 8, 120) (dual of [(79, 8), 391, 121]-NRT-code), using algebraic-geometric NRT-code AG(8;F,511P) [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(2²²⁸, 79, F₂, 8, 107) (dual of [(79, 8), 404, 108]-NRT-code), using algebraic-geometric NRT-code AG(8;F,524P) [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.