MinT - Information on Result #2758722

Information on Result #2758722

Linear OOA(2⁸⁷, 26, F₂, 4, 52) (dual of [(26, 4), 17, 53]-NRT-code), using strength reduction based on linear OOA(2⁸⁷, 26, F₂, 4, 53) (dual of [(26, 4), 17, 54]-NRT-code), using

constructionÂ X applied to AG(4;F,22P) âŠ‚ AG(4;F,35P) [i] based on
1. linear OOA(2⁷², 19, F₂, 4, 53) (dual of [(19, 4), 4, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,22P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁵⁹, 19, F₂, 4, 40) (dual of [(19, 4), 17, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2¹⁵, 7, F₂, 4, 12) (dual of [(7, 4), 13, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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.