MinT - Information on Result #2760327

Information on Result #2760327

Linear OOA(2¹²⁷, 35, F₂, 4, 82) (dual of [(35, 4), 13, 83]-NRT-code), using strength reduction based on linear OOA(2¹²⁷, 35, F₂, 4, 83) (dual of [(35, 4), 13, 84]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴³, 14, F₂, 4, 32) (dual of [(14, 4), 13, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷¹, 21, F₂, 4, 50) (dual of [(21, 4), 13, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,33P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.