MinT - Information on Result #1059019

Information on Result #1059019

Linear OOA(2²¹⁹, 57, F₂, 4, 130) (dual of [(57, 4), 9, 131]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁹, 114, F₂, 2, 130) (dual of [(114, 2), 9, 131]-NRT-code), using

2 step truncation [i] based on linear OOA(2²²¹, 115, F₂, 2, 132) (dual of [(115, 2), 9, 133]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8²⁰, 23, F₈, 18) (dual of [23, 3, 19]-code), using
    - 5 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
      - Denniston code D(2,8) [i]
  2. linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [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.