MinT - Information on Result #2840686

Information on Result #2840686

Linear OOA(2¹⁴³, 31, F₂, 5, 105) (dual of [(31, 5), 12, 106]-NRT-code), using strength reduction based on linear OOA(2¹⁴³, 31, F₂, 5, 106) (dual of [(31, 5), 12, 107]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁸, 14, F₂, 5, 47) (dual of [(14, 5), 12, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,22P) [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(2⁷³, 17, F₂, 5, 58) (dual of [(17, 5), 12, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,26P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.