MinT - Information on Result #1210118

Information on Result #1210118

Digital (109, 121, 1398135)-net over F₄, using (u,Â u+v)-construction based on

digital (7, 13, 35)-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 (3, 9, 18)-net over F₄, using
    - linear code embedding found in a computer search [i]
digital (96, 108, 1398100)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹⁰⁸, 1398100, F₄, 12, 12) (dual of [(1398100, 12), 16777092, 13]-NRT-code), using
  - OA 6-folding and stacking [i] based on linear OA(4¹⁰⁸, 8388600, F₄, 12) (dual of [8388600, 8388492, 13]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹⁰⁸, large, F₄, 12) (dual of [large, large−108, 13]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

None.

None.