MinT - Information on Result #2640838

Information on Result #2640838

Linear OOA(5¹²³, 93, F₅, 3, 59) (dual of [(93, 3), 156, 60]-NRT-code), using strength reduction based on linear OOA(5¹²³, 93, F₅, 3, 60) (dual of [(93, 3), 156, 61]-NRT-code), using

constructionÂ X applied to AG(3;F,170P) âŠ‚ AG(3;F,193P) [i] based on
1. linear OOA(5⁹⁸, 77, F₅, 3, 60) (dual of [(77, 3), 133, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,170P) [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(5⁷⁵, 77, F₅, 3, 37) (dual of [(77, 3), 156, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,193P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5²⁵, 16, F₅, 3, 22) (dual of [(16, 3), 23, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.