MinT - Information on Result #2906040

Information on Result #2906040

Linear OOA(2⁷⁹, 25, F₂, 6, 42) (dual of [(25, 6), 71, 43]-NRT-code), using strength reduction based on linear OOA(2⁷⁹, 25, F₂, 6, 43) (dual of [(25, 6), 71, 44]-NRT-code), using

constructionÂ X applied to AG(6;F,76P) âŠ‚ AG(6;F,91P) [i] based on
1. linear OOA(2⁶⁴, 20, F₂, 6, 43) (dual of [(20, 6), 56, 44]-NRT-code), using algebraic-geometric NRT-code AG(6;F,76P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁴⁹, 20, F₂, 6, 28) (dual of [(20, 6), 71, 29]-NRT-code), using algebraic-geometric NRT-code AG(6;F,91P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (see above)
3. linear OOA(2¹⁵, 5, F₂, 6, 14) (dual of [(5, 6), 15, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,15P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.