MinT - Information on Result #3003461

Information on Result #3003461

Linear OOA(2²⁵⁷, 84, F₂, 8, 98) (dual of [(84, 8), 415, 99]-NRT-code), using 2² times duplication based on linear OOA(2²⁵⁵, 84, F₂, 8, 98) (dual of [(84, 8), 417, 99]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁰³, 42, F₂, 8, 49) (dual of [(42, 8), 233, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,286P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵², 42, F₂, 8, 98) (dual of [(42, 8), 184, 99]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,237P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (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.