MinT - Information on Result #1210287

Information on Result #1210287

Digital (122, 136, 1198408)-net over F₄, using (u,Â u+v)-construction based on

digital (8, 15, 37)-net over F₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (1, 4, 17)-net over F₄, using
    - net defined by OOA [i] based on linear OOA(4⁴, 17, F₄, 3, 3) (dual of [(17, 3), 47, 4]-NRT-code), using
      - appending kth column [i] based on linear OOA(4⁴, 17, F₄, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
        ovoid in PG(3,Â 4) [i]
  2. digital (4, 11, 20)-net over F₄, using
    - linear code embedding found in a computer search [i]
digital (107, 121, 1198371)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹²¹, 1198371, F₄, 14, 14) (dual of [(1198371, 14), 16777073, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(4¹²¹, 8388597, F₄, 14) (dual of [8388597, 8388476, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹²¹, large, F₄, 14) (dual of [large, large−121, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

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