MinT - Information on Result #3193009

Information on Result #3193009

Digital (251, 255, large)-net over F₂, using t-expansion based on digital (244, 255, large)-net over F₂, using

trace code for nets [i] based on digital (74, 85, 2796201)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8⁸⁵, 2796201, F₈, 15, 11) (dual of [(2796201, 15), 41942930, 12]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(8⁸⁵, 5592403, F₈, 3, 11) (dual of [(5592403, 3), 16777124, 12]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(8⁸², 5592402, F₈, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
      - trace code [i] based on linear OOA(64⁴¹, 2796201, F₆₄, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁴¹, large, F₆₄, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (252, 256, large)-net over F₂	[i]		Net Duplication
2	Digital (253, 257, large)-net over F₂	[i]
3	Digital (254, 258, large)-net over F₂	[i]
4	Digital (255, 259, large)-net over F₂	[i]
5	Digital (256, 260, large)-net over F₂	[i]