MinT - Information on Result #2641264

Information on Result #2641264

Linear OOA(5¹³⁵, 95, F₅, 3, 67) (dual of [(95, 3), 150, 68]-NRT-code), using strength reduction based on linear OOA(5¹³⁵, 95, F₅, 3, 68) (dual of [(95, 3), 150, 69]-NRT-code), using

constructionÂ X applied to AG(3;F,162P) âŠ‚ AG(3;F,188P) [i] based on
1. linear OOA(5¹⁰⁶, 77, F₅, 3, 68) (dual of [(77, 3), 125, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [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(5⁸⁰, 77, F₅, 3, 42) (dual of [(77, 3), 151, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5²⁹, 18, F₅, 3, 25) (dual of [(18, 3), 25, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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.