MinT - Information on Result #1205710

Information on Result #1205710

Digital (99, 112, 5592402)-net over F₁₆, using trace code for nets based on digital (43, 56, 2796201)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256⁵⁶, 2796201, F₂₅₆, 15, 13) (dual of [(2796201, 15), 41942959, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(256⁵⁶, 5592403, F₂₅₆, 3, 13) (dual of [(5592403, 3), 16777153, 14]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(256⁵³, 5592402, F₂₅₆, 3, 13) (dual of [(5592402, 3), 16777153, 14]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(256¹⁶, 2796201, F₂₅₆, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
        OOA 3-folding [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
      2. linear OOA(256³⁷, 2796201, F₂₅₆, 3, 13) (dual of [(2796201, 3), 8388566, 14]-NRT-code), using
        OOA 3-folding [i] based on linear OA(256³⁷, large, F₂₅₆, 13) (dual of [large, large−37, 14]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.