MinT - Information on Result #2948076

Information on Result #2948076

Linear OOA(2¹⁶², 25, F₂, 7, 127) (dual of [(25, 7), 13, 128]-NRT-code), using strength reduction based on linear OOA(2¹⁶², 25, F₂, 7, 130) (dual of [(25, 7), 13, 131]-NRT-code), using

constructionÂ X applied to AG(7;F,0P) âŠ‚ AG(7;F,31P) [i] based on
1. linear OOA(2¹³², 19, F₂, 7, 132) (dual of [(19, 7), 1, 133]-NRT-code), using algebraic-geometric NRT-code AG(7;F,0P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁰, 19, F₂, 7, 101) (dual of [(19, 7), 13, 102]-NRT-code), using algebraic-geometric NRT-code AG(7;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2³⁰, 6, F₂, 7, 28) (dual of [(6, 7), 12, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,13P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.