MinT - Information on Result #2846898

Information on Result #2846898

Linear OOA(2²³⁷, 53, F₂, 5, 153) (dual of [(53, 5), 28, 154]-NRT-code), using strength reduction based on linear OOA(2²³⁷, 53, F₂, 5, 154) (dual of [(53, 5), 28, 155]-NRT-code), using

constructionÂ X applied to AG(5;F,42P) âŠ‚ AG(5;F,49P) [i] based on
1. linear OOA(2²²⁴, 48, F₂, 5, 155) (dual of [(48, 5), 16, 156]-NRT-code), using algebraic-geometric NRT-code AG(5;F,42P) 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(2²¹⁰, 48, F₂, 5, 141) (dual of [(48, 5), 30, 142]-NRT-code), using algebraic-geometric NRT-code AG(5;F,49P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2¹³, 5, F₂, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.