MinT - Information on Result #2640706

Information on Result #2640706

Linear OOA(5¹¹⁹, 88, F₅, 3, 63) (dual of [(88, 3), 145, 64]-NRT-code), using strength reduction based on linear OOA(5¹¹⁹, 88, F₅, 3, 64) (dual of [(88, 3), 145, 65]-NRT-code), using

constructionÂ X applied to AG(3;F,166P) âŠ‚ AG(3;F,182P) [i] based on
1. linear OOA(5¹⁰², 77, F₅, 3, 64) (dual of [(77, 3), 129, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,166P) [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(5⁸⁶, 77, F₅, 3, 48) (dual of [(77, 3), 145, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,182P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5¹⁷, 11, F₅, 3, 15) (dual of [(11, 3), 16, 16]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5¹⁷, 12, F₅, 3, 15) (dual of [(12, 3), 19, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₅ with g(F) = 2 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [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.