MinT - Information on Result #1841903

Information on Result #1841903

(55, 68, 2812520)-net in base 128, using net defined by OOA based on OOA(128⁶⁸, 2812520, S₁₂₈, 15, 13), using

OOA 2-folding and stacking with additional row [i] based on OOA(128⁶⁸, 5625041, S₁₂₈, 3, 13), using
- discarding factors based on OOA(128⁶⁸, 5625042, S₁₂₈, 3, 13), using
  - discarding parts of the base [i] based on linear OOA(256⁵⁹, 5625042, F₂₅₆, 3, 13) (dual of [(5625042, 3), 16875067, 14]-NRT-code), using
    - generalized (u,Â u+v)-construction [i] based on
      1. linear OOA(256⁶, 32640, F₂₅₆, 3, 4) (dual of [(32640, 3), 97914, 5]-NRT-code), using
        OA 2-folding and stacking [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
        1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
      2. 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]
      3. 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.

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.