MinT - Information on Result #1136749

Information on Result #1136749

Linear OOA(2²¹⁷, 43, F₂, 6, 105) (dual of [(43, 6), 41, 106]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁷, 86, F₂, 3, 105) (dual of [(86, 3), 41, 106]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²¹⁷, 87, F₂, 3, 105) (dual of [(87, 3), 44, 106]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(4⁶⁵, 29, F₄, 3, 52) (dual of [(29, 3), 22, 53]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,34P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
      - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
  2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.