MinT - Information on Result #2641808

Information on Result #2641808

Linear OOA(5¹⁴⁹, 89, F₅, 3, 91) (dual of [(89, 3), 118, 92]-NRT-code), using strength reduction based on linear OOA(5¹⁴⁹, 89, F₅, 3, 92) (dual of [(89, 3), 118, 93]-NRT-code), using

constructionÂ X applied to AG(3;F,138P) âŠ‚ AG(3;F,156P) [i] based on
1. linear OOA(5¹³⁰, 77, F₅, 3, 92) (dual of [(77, 3), 101, 93]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [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(5¹¹², 77, F₅, 3, 74) (dual of [(77, 3), 119, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,156P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5¹⁹, 12, F₅, 3, 17) (dual of [(12, 3), 17, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₅ with g(F) = 2 and N(F) ≥ 12, 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.