MinT - Information on Result #2966882

Information on Result #2966882

Linear OOA(2²⁵⁷, 66, F₂, 7, 116) (dual of [(66, 7), 205, 117]-NRT-code), using 2⁵ times duplication based on linear OOA(2²⁵², 66, F₂, 7, 116) (dual of [(66, 7), 210, 117]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁹⁷, 33, F₂, 7, 58) (dual of [(33, 7), 134, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,172P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵⁵, 33, F₂, 7, 116) (dual of [(33, 7), 76, 117]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,114P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)

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.