MinT - Information on Result #2966750

Information on Result #2966750

Linear OOA(2²²⁹, 62, F₂, 7, 105) (dual of [(62, 7), 205, 106]-NRT-code), using 2¹ times duplication based on linear OOA(2²²⁸, 62, F₂, 7, 105) (dual of [(62, 7), 206, 106]-NRT-code), using

constructionÂ X applied to AG(7;F,115P) âŠ‚ AG(7;F,137P) [i] based on
1. linear OOA(2¹⁷⁴, 48, F₂, 7, 105) (dual of [(48, 7), 162, 106]-NRT-code), using algebraic-geometric NRT-code AG(7;F,115P) 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(2¹³⁰, 48, F₂, 7, 61) (dual of [(48, 7), 206, 62]-NRT-code), using algebraic-geometric NRT-code AG(7;F,137P) 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.