MinT - Information on Result #835774

Information on Result #835774

Linear OOA(5²⁵, 21, F₅, 2, 13) (dual of [(21, 2), 17, 14]-NRT-code), using OOA 2-folding based on linear OA(5²⁵, 42, F₅, 13) (dual of [42, 17, 14]-code), using

discarding factors / shortening the dual code based on linear OA(5²⁵, 43, F₅, 13) (dual of [43, 18, 14]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(5⁸, 17, F₅, 6) (dual of [17, 9, 7]-code), using
    - generator matrices provided on Edelâ€™s homepage [i]
  2. linear OA(5¹⁷, 26, F₅, 13) (dual of [26, 9, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 26Â | 5⁴âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [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.