MinT - Information on Result #2928577

Information on Result #2928577

Linear OOA(2²³⁵, 60, F₂, 6, 125) (dual of [(60, 6), 125, 126]-NRT-code), using 2¹ times duplication based on linear OOA(2²³⁴, 60, F₂, 6, 125) (dual of [(60, 6), 126, 126]-NRT-code), using

constructionÂ X applied to AG(6;F,81P) âŠ‚ AG(6;F,97P) [i] based on
1. linear OOA(2¹⁹⁴, 48, F₂, 6, 125) (dual of [(48, 6), 94, 126]-NRT-code), using algebraic-geometric NRT-code AG(6;F,81P) 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(2¹⁶², 48, F₂, 6, 93) (dual of [(48, 6), 126, 94]-NRT-code), using algebraic-geometric NRT-code AG(6;F,97P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2⁴⁰, 12, F₂, 6, 31) (dual of [(12, 6), 32, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,40P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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.