MinT - Information on Result #2505108

Information on Result #2505108

Linear OOA(5⁸⁷, 82, F₅, 2, 44) (dual of [(82, 2), 77, 45]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5⁸⁵, 81, F₅, 2, 44) (dual of [(81, 2), 77, 45]-NRT-code), using

constructionÂ X applied to AG(2;F,97P) âŠ‚ AG(2;F,107P) [i] based on
1. linear OOA(5⁷⁵, 71, F₅, 2, 44) (dual of [(71, 2), 67, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁵, 71, F₅, 2, 34) (dual of [(71, 2), 77, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5¹⁰, 10, F₅, 2, 9) (dual of [(10, 2), 10, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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.