MinT - Information on Result #2809350

Information on Result #2809350

Linear OOA(2¹⁶⁴, 50, F₂, 4, 92) (dual of [(50, 4), 36, 93]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁴, 50, F₂, 4, 93) (dual of [(50, 4), 36, 94]-NRT-code), using

constructionÂ X applied to AG(4;F,94P) âŠ‚ AG(4;F,101P) [i] based on
1. linear OOA(2¹⁵⁸, 47, F₂, 4, 93) (dual of [(47, 4), 30, 94]-NRT-code), using algebraic-geometric NRT-code AG(4;F,94P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2¹⁵¹, 47, F₂, 4, 86) (dual of [(47, 4), 37, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,101P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48 (see above)
3. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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.