MinT - Information on Result #2992934

Information on Result #2992934

Linear OOA(2²⁵⁷, 62, F₂, 8, 122) (dual of [(62, 8), 239, 123]-NRT-code), using strength reduction based on linear OOA(2²⁵⁷, 62, F₂, 8, 123) (dual of [(62, 8), 239, 124]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸⁰, 20, F₂, 8, 61) (dual of [(20, 8), 80, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,98P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷⁷, 42, F₂, 8, 123) (dual of [(42, 8), 159, 124]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,212P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, 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.