MinT - Information on Result #1208226

Information on Result #1208226

Digital (142, 156, 1198439)-net over F₃, using (u,Â u+v)-construction based on

digital (13, 20, 68)-net over F₃, using
- (u,Â u+v)-construction [i] based on
  1. digital (3, 6, 56)-net over F₃, using
    - net defined by OOA [i] based on linear OOA(3⁶, 56, F₃, 3, 3) (dual of [(56, 3), 162, 4]-NRT-code), using
      - appending kth column [i] based on linear OOA(3⁶, 56, F₃, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
        the Hill cap [i]
  2. digital (7, 14, 34)-net over F₃, using
    - linear code embedding found in a computer search [i]
digital (122, 136, 1198371)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3¹³⁶, 1198371, F₃, 14, 14) (dual of [(1198371, 14), 16777058, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(3¹³⁶, 8388597, F₃, 14) (dual of [8388597, 8388461, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

None.

None.