MinT - Information on Result #1165732

Information on Result #1165732

Linear OOA(2⁴⁵, 11, F₂, 8, 21) (dual of [(11, 8), 43, 22]-NRT-code), using OOA 2-folding based on linear OOA(2⁴⁵, 22, F₂, 4, 21) (dual of [(22, 4), 43, 22]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁶, 11, F₂, 4, 10) (dual of [(11, 4), 28, 11]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 16, 11)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2²⁹, 11, F₂, 4, 21) (dual of [(11, 4), 15, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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.