MinT - Information on Result #2758721

Information on Result #2758721

Linear OOA(2⁸⁷, 25, F₂, 4, 54) (dual of [(25, 4), 13, 55]-NRT-code), using strength reduction based on linear OOA(2⁸⁷, 25, F₂, 4, 55) (dual of [(25, 4), 13, 56]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,25P) [i] based on
1. linear OOA(2⁵⁵, 14, F₂, 4, 55) (dual of [(14, 4), 1, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁴³, 14, F₂, 4, 30) (dual of [(14, 4), 13, 31]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15 (see above)
3. linear OOA(2³², 11, F₂, 4, 24) (dual of [(11, 4), 12, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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.