MinT - Information on Result #1824619

Information on Result #1824619

(26, 32, 2861738)-net in base 32, using base change based on digital (14, 20, 2861738)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256²⁰, 2861738, F₂₅₆, 6, 6) (dual of [(2861738, 6), 17170408, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(256²⁰, 2861738, F₂₅₆, 5, 6) (dual of [(2861738, 5), 14308670, 7]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁴, 65537, F₂₅₆, 5, 3) (dual of [(65537, 5), 327681, 4]-NRT-code), using
      - appending 2 arbitrary columns [i] based on linear OOA(256⁴, 65537, F₂₅₆, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
        appending kth column [i] based on linear OOA(256⁴, 65537, F₂₅₆, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
        ovoid in PG(3,Â 256) [i]
    2. linear OOA(256¹⁶, 2796201, F₂₅₆, 5, 6) (dual of [(2796201, 5), 13980989, 7]-NRT-code), using
      - OA 3-folding and stacking [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]

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.