MinT - Information on Result #2419732

Information on Result #2419732

Linear OOA(2¹³¹, 70, F₂, 2, 73) (dual of [(70, 2), 9, 74]-NRT-code), using strength reduction based on linear OOA(2¹³¹, 70, F₂, 2, 76) (dual of [(70, 2), 9, 77]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹¹, 14, F₈, 10) (dual of [14, 3, 11]-code), using
  - extended algebraic-geometric code AG_e(F,3P) [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 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.