MinT - Information on Result #975697

Information on Result #975697

Linear OOA(5¹⁴⁴, 52, F₅, 3, 103) (dual of [(52, 3), 12, 104]-NRT-code), using OOA 3-folding based on linear OA(5¹⁴⁴, 156, F₅, 103) (dual of [156, 12, 104]-code), using

strength reduction [i] based on linear OA(5¹⁴⁴, 156, F₅, 104) (dual of [156, 12, 105]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25²⁰, 26, F₂₅, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using
    - extended Reedâ€“Solomon code RS_e(6,25) [i]
    - algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using the rational function field F₂₅(x) [i]
    - algebraic-geometric code AG(F, Q+1P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26 (see above)
  2. linear OA(5⁴, 6, F₅, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
    - extended Reedâ€“Solomon code RS_e(2,5) [i]
    - Simplex code S(2,5) [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.