MinT - Information on Result #2447596

Information on Result #2447596

Linear OOA(5¹⁰⁹, 87, F₅, 2, 60) (dual of [(87, 2), 65, 61]-NRT-code), using strength reduction based on linear OOA(5¹⁰⁹, 87, F₅, 2, 61) (dual of [(87, 2), 65, 62]-NRT-code), using

constructionÂ X applied to AG(2;F,80P) âŠ‚ AG(2;F,95P) [i] based on
1. linear OOA(5⁹², 71, F₅, 2, 61) (dual of [(71, 2), 50, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,80P) [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(5⁷⁷, 71, F₅, 2, 46) (dual of [(71, 2), 65, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (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.