MinT - Information on Result #1842685

Information on Result #1842685

(36, 43, 5593425)-net in base 16, using (u,Â u+v)-construction based on

(2, 5, 1025)-net in base 16, using
- base change [i] based on digital (1, 4, 1025)-net over F₃₂, using
  - net defined by OOA [i] based on linear OOA(32⁴, 1025, F₃₂, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(32⁴, 1025, F₃₂, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁴, 1025, F₃₂, 3) (dual of [1025, 1021, 4]-code or 1025-cap in PG(3,32)), using
        ovoid in PG(3,Â 32) [i]
digital (31, 38, 5592400)-net over F₁₆, using
- trace code for nets [i] based on digital (12, 19, 2796200)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256¹⁹, 2796200, F₂₅₆, 7, 7) (dual of [(2796200, 7), 19573381, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(256¹⁹, 2796200, F₂₅₆, 6, 7) (dual of [(2796200, 6), 16777181, 8]-NRT-code), using
      - OOA 3-folding and stacking with additional row [i] based on linear OA(256¹⁹, 8388601, F₂₅₆, 7) (dual of [8388601, 8388582, 8]-code), using
        discarding factors / shortening the dual code based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [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.