MinT - Information on Result #2531011

Information on Result #2531011

Linear OOA(7⁸¹, 43, F₇, 2, 69) (dual of [(43, 2), 5, 70]-NRT-code), using strength reduction based on linear OOA(7⁸¹, 43, F₇, 2, 70) (dual of [(43, 2), 5, 71]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7³³, 19, F₇, 2, 30) (dual of [(19, 2), 5, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(7³³, 20, F₇, 2, 30) (dual of [(20, 2), 7, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₇ with g(F) = 3 and N(F) ≥ 20, using
      - fields by Serre with genus 3 or 4 [i]
2. linear OOA(7⁴³, 24, F₇, 2, 39) (dual of [(24, 2), 5, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₇ with g(F) = 4 and N(F) ≥ 24, using
    - an algebraic function field over â„¤₇ by Yeo [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.