MinT - Information on Result #2505513

Information on Result #2505513

Linear OOA(5¹¹³, 94, F₅, 2, 56) (dual of [(94, 2), 75, 57]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5¹¹¹, 93, F₅, 2, 56) (dual of [(93, 2), 75, 57]-NRT-code), using

constructionÂ X applied to AG(2;F,97P) âŠ‚ AG(2;F,112P) [i] based on
1. linear OOA(5⁹⁴, 77, F₅, 2, 56) (dual of [(77, 2), 60, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁷⁹, 77, F₅, 2, 41) (dual of [(77, 2), 75, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,112P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5¹⁷, 16, F₅, 2, 14) (dual of [(16, 2), 15, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,17P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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.