MinT - Information on Result #1210093

Information on Result #1210093

Digital (147, 158, large)-net over F₄, using (u,Â u+v)-construction based on

digital (29, 34, 2097151)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4³⁴, 2097151, F₄, 5, 5) (dual of [(2097151, 5), 10485721, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(4³⁴, 4194303, F₄, 5) (dual of [4194303, 4194269, 6]-code), using
    - discarding factors / shortening the dual code based on linear OA(4³⁴, 4194304, F₄, 5) (dual of [4194304, 4194270, 6]-code), using
      - an extension C_e(4) of the primitive narrow-sense BCH-code C(I) with length 4194303Â = 4¹¹âˆ’1, defining interval IÂ =Â [1,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
digital (113, 124, 6710880)-net over F₄, using
- trace code for nets [i] based on digital (20, 31, 1677720)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256³¹, 1677720, F₂₅₆, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(256³¹, 8388601, F₂₅₆, 11) (dual of [8388601, 8388570, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

Show details for fixed k and m, k and t, m and t.

None.

The following results depend on this result: