MinT - Information on Result #2640410

Information on Result #2640410

Linear OOA(5¹⁰⁹, 87, F₅, 3, 55) (dual of [(87, 3), 152, 56]-NRT-code), using strength reduction based on linear OOA(5¹⁰⁹, 87, F₅, 3, 56) (dual of [(87, 3), 152, 57]-NRT-code), using

constructionÂ X applied to AG(3;F,174P) âŠ‚ AG(3;F,189P) [i] based on
1. linear OOA(5⁹⁴, 77, F₅, 3, 56) (dual of [(77, 3), 137, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [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, 3, 41) (dual of [(77, 3), 152, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5¹⁵, 10, F₅, 3, 14) (dual of [(10, 3), 15, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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.