MinT - Information on Result #2966985

Information on Result #2966985

Linear OOA(2²⁵⁹, 62, F₂, 7, 135) (dual of [(62, 7), 175, 136]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁸, 62, F₂, 7, 135) (dual of [(62, 7), 176, 136]-NRT-code), using

constructionÂ X applied to AG(7;F,100P) âŠ‚ AG(7;F,122P) [i] based on
1. linear OOA(2²⁰⁴, 48, F₂, 7, 135) (dual of [(48, 7), 132, 136]-NRT-code), using algebraic-geometric NRT-code AG(7;F,100P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶⁰, 48, F₂, 7, 91) (dual of [(48, 7), 176, 92]-NRT-code), using algebraic-geometric NRT-code AG(7;F,122P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2⁵⁴, 14, F₂, 7, 43) (dual of [(14, 7), 44, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,54P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.