MinT - Information on Result #2531167

Information on Result #2531167

Linear OOA(7¹⁰⁸, 58, F₇, 2, 88) (dual of [(58, 2), 8, 89]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁸, 58, F₇, 2, 89) (dual of [(58, 2), 8, 90]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7³², 20, F₇, 2, 29) (dual of [(20, 2), 8, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [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(7⁶⁸, 38, F₇, 2, 59) (dual of [(38, 2), 8, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₇ with g(F) = 9 and N(F) ≥ 38, 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.