MinT - Information on Result #1095838

Information on Result #1095838

Linear OOA(2⁴³, 12, F₂, 5, 19) (dual of [(12, 5), 17, 20]-NRT-code), using OOA 2-folding based on linear OOA(2⁴³, 24, F₂, 3, 19) (dual of [(24, 3), 29, 20]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁵, 12, F₂, 3, 9) (dual of [(12, 3), 21, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 15, 12)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2²⁸, 12, F₂, 3, 19) (dual of [(12, 3), 8, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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.