MinT - Information on Result #971989

Information on Result #971989

Linear OOA(5¹⁷, 14, F₅, 3, 9) (dual of [(14, 3), 25, 10]-NRT-code), using OOA 2-folding based on linear OOA(5¹⁷, 28, F₅, 2, 9) (dual of [(28, 2), 39, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(5⁵, 12, F₅, 2, 4) (dual of [(12, 2), 19, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 5, 12)-net over F₅, using
    - linear code embedding found in a computer search [i]
2. linear OOA(5¹², 16, F₅, 2, 9) (dual of [(16, 2), 20, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,22P) [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.