MinT - Information on Result #1133359

Information on Result #1133359

Linear OOA(2⁵⁹, 11, F₂, 6, 38) (dual of [(11, 6), 7, 39]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁹, 22, F₂, 3, 38) (dual of [(22, 3), 7, 39]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2³⁵, 14, F₂, 3, 24) (dual of [(14, 3), 7, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.