MinT - Information on Result #2640139

Information on Result #2640139

Linear OOA(5⁹⁹, 83, F₅, 3, 51) (dual of [(83, 3), 150, 52]-NRT-code), using strength reduction based on linear OOA(5⁹⁹, 83, F₅, 3, 52) (dual of [(83, 3), 150, 53]-NRT-code), using

constructionÂ X applied to AG(3;F,178P) âŠ‚ AG(3;F,188P) [i] based on
1. linear OOA(5⁹⁰, 77, F₅, 3, 52) (dual of [(77, 3), 141, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁸⁰, 77, F₅, 3, 42) (dual of [(77, 3), 151, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5⁹, 6, F₅, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;9,5) [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.