MinT - Information on Result #2641000

Information on Result #2641000

Linear OOA(5¹²⁸, 82, F₅, 3, 82) (dual of [(82, 3), 118, 83]-NRT-code), using strength reduction based on linear OOA(5¹²⁸, 82, F₅, 3, 83) (dual of [(82, 3), 118, 84]-NRT-code), using

constructionÂ X applied to AG(3;F,147P) âŠ‚ AG(3;F,155P) [i] based on
1. linear OOA(5¹²¹, 77, F₅, 3, 83) (dual of [(77, 3), 110, 84]-NRT-code), using algebraic-geometric NRT-code AG(3;F,147P) [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(5¹¹³, 77, F₅, 3, 75) (dual of [(77, 3), 118, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,155P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5⁷, 5, F₅, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;8,5) [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.