MinT - Information on Result #1057736

Information on Result #1057736

Linear OOA(2¹⁷⁵, 49, F₂, 4, 83) (dual of [(49, 4), 21, 84]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁷⁵, 98, F₂, 2, 83) (dual of [(98, 2), 21, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(8²¹, 14, F₈, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OA(2⁴, 7, F₂, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
  - Simplex code S(3,2) [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.