MinT - Information on Result #981693

Information on Result #981693

Linear OOA(8⁹⁶, 53, F₈, 3, 50) (dual of [(53, 3), 63, 51]-NRT-code), using OOA 2-folding based on linear OOA(8⁹⁶, 106, F₈, 2, 50) (dual of [(106, 2), 116, 51]-NRT-code), using

constructionÂ X applied to AG(2;F,143P) âŠ‚ AG(2;F,153P) [i] based on
1. linear OOA(8⁸⁷, 97, F₈, 2, 50) (dual of [(97, 2), 107, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,143P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
  - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8⁷⁷, 97, F₈, 2, 40) (dual of [(97, 2), 117, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,153P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8⁹, 9, F₈, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;9,8) [i]

Mode: Constructive and 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.