MinT - Information on Result #1210014

Information on Result #1210014

Digital (123, 133, 6716929)-net over F₄, using (u,Â u+v)-construction based on

digital (16, 21, 6049)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4²¹, 6049, F₄, 5, 5) (dual of [(6049, 5), 30224, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(4²¹, 12099, F₄, 5) (dual of [12099, 12078, 6]-code), using
    - trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
      - a code by Danev and Olsson [i]
digital (102, 112, 6710880)-net over F₄, using
- trace code for nets [i] based on digital (18, 28, 1677720)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256²⁸, 1677720, F₂₅₆, 10, 10) (dual of [(1677720, 10), 16777172, 11]-NRT-code), using
    - OA 5-folding and stacking [i] based on linear OA(256²⁸, 8388600, F₂₅₆, 10) (dual of [8388600, 8388572, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²⁸, large, F₂₅₆, 10) (dual of [large, large−28, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

None.

None.