MinT - Information on Result #2915938

Information on Result #2915938

Linear OOA(2²⁴⁹, 44, F₂, 6, 187) (dual of [(44, 6), 15, 188]-NRT-code), using strength reduction based on linear OOA(2²⁴⁹, 44, F₂, 6, 188) (dual of [(44, 6), 15, 189]-NRT-code), using

constructionÂ X applied to AG(6;F,0P) âŠ‚ AG(6;F,53P) [i] based on
1. linear OOA(2¹⁹¹, 32, F₂, 6, 191) (dual of [(32, 6), 1, 192]-NRT-code), using algebraic-geometric NRT-code AG(6;F,0P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷⁷, 32, F₂, 6, 138) (dual of [(32, 6), 15, 139]-NRT-code), using algebraic-geometric NRT-code AG(6;F,53P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁵⁸, 12, F₂, 6, 49) (dual of [(12, 6), 14, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,22P) [i] based on function field F/F₂ with g(F) = 9 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.