MinT - Information on Result #2848246

Information on Result #2848246

Linear OOA(2²⁵², 56, F₂, 5, 158) (dual of [(56, 5), 28, 159]-NRT-code), using strength reduction based on linear OOA(2²⁵², 56, F₂, 5, 159) (dual of [(56, 5), 28, 160]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,81P) [i] based on
1. linear OOA(2²⁰⁴, 41, F₂, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷⁷, 41, F₂, 5, 123) (dual of [(41, 5), 28, 124]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁴⁸, 15, F₂, 5, 35) (dual of [(15, 5), 27, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,39P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, 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.