MinT - Information on Result #837996

Information on Result #837996

Linear OOA(5⁵², 28, F₅, 2, 41) (dual of [(28, 2), 4, 42]-NRT-code), using OOA 2-folding based on linear OA(5⁵², 56, F₅, 41) (dual of [56, 4, 42]-code), using

juxtaposition [i] based on
1. linear OA(5²⁰, 24, F₅, 17) (dual of [24, 4, 18]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 24Â = 5²âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]
2. linear OA(5²⁸, 32, F₅, 23) (dual of [32, 4, 24]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [26,1,25]-code [i] based on
    1. linear OA(5²², 26, F₅, 19) (dual of [26, 4, 20]-code), using projective code from ovoid in PG(3,Â 5) [i]
    2. linear OA(5³, 6, F₅, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
      - extended Reedâ€“Solomon code RS_e(3,5) [i]
      - oval in PG(2,Â 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.