MinT - Information on Result #2505764

Information on Result #2505764

Linear OOA(5¹³⁹, 104, F₅, 2, 69) (dual of [(104, 2), 69, 70]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5¹³⁷, 103, F₅, 2, 69) (dual of [(103, 2), 69, 70]-NRT-code), using

constructionÂ X applied to AG(2;F,72P) âŠ‚ AG(2;F,99P) [i] based on
1. linear OOA(5¹⁰⁰, 71, F₅, 2, 69) (dual of [(71, 2), 42, 70]-NRT-code), using algebraic-geometric NRT-code AG(2;F,72P) [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(5⁷³, 71, F₅, 2, 42) (dual of [(71, 2), 69, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,99P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5³⁷, 32, F₅, 2, 26) (dual of [(32, 2), 27, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,37P) [i] based on function field F/F₅ with g(F) = 11 and N(F) ≥ 32, 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.