MinT - Information on Result #2720051

Information on Result #2720051

Linear OOA(7¹⁰⁷, 98, F₇, 3, 69) (dual of [(98, 3), 187, 70]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁷, 98, F₇, 3, 70) (dual of [(98, 3), 187, 71]-NRT-code), using

constructionÂ X applied to AG(3;F,214P) âŠ‚ AG(3;F,219P) [i] based on
1. linear OOA(7¹⁰³, 95, F₇, 3, 70) (dual of [(95, 3), 182, 71]-NRT-code), using algebraic-geometric NRT-code AG(3;F,214P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96, using
  - an algebraic function field by Teo [i]
2. linear OOA(7⁹⁸, 95, F₇, 3, 65) (dual of [(95, 3), 187, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,219P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96 (see above)
3. linear OOA(7⁴, 3, F₇, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(7⁴, 7, F₇, 3, 4) (dual of [(7, 3), 17, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;17,7) [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.