MinT - Information on Result #1106720

Information on Result #1106720

Linear OOA(256³⁵, 13364, F₂₅₆, 5, 13) (dual of [(13364, 5), 66785, 14]-NRT-code), using OOA 5-folding based on linear OA(256³⁵, 66820, F₂₅₆, 13) (dual of [66820, 66785, 14]-code), using

discarding factors / shortening the dual code based on linear OA(256³⁵, 66822, F₂₅₆, 13) (dual of [66822, 66787, 14]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(256¹⁰, 1285, F₂₅₆, 6) (dual of [1285, 1275, 7]-code), using
    - the BCH-code C(I) with length 1285Â | 256²âˆ’1, defining interval IÂ =Â {1,52,103,…,256}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
  2. linear OA(256²⁵, 65537, F₂₅₆, 13) (dual of [65537, 65512, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’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.