MinT - Information on Result #2765337

Information on Result #2765337

Linear OOA(2²¹⁵, 58, F₂, 4, 129) (dual of [(58, 4), 17, 130]-NRT-code), using strength reduction based on linear OOA(2²¹⁵, 58, F₂, 4, 130) (dual of [(58, 4), 17, 131]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵¹, 17, F₂, 4, 36) (dual of [(17, 4), 17, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,31P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁷, 41, F₂, 4, 93) (dual of [(41, 4), 17, 94]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,70P) [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.