MinT - Information on Result #1192128

Information on Result #1192128

Digital (123, 141, 1864134)-net over F₈, using net defined by OOA based on linear OOA(8¹⁴¹, 1864134, F₈, 21, 18) (dual of [(1864134, 21), 39146673, 19]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(8¹⁴¹, 5592403, F₈, 3, 18) (dual of [(5592403, 3), 16777068, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8¹³⁸, 5592402, F₈, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
  - trace code [i] based on linear OOA(64⁶⁹, 2796201, F₆₄, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(64⁶⁹, large, F₆₄, 18) (dual of [large, large−69, 19]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (124, 142, 1864134)-net over F₈	[i]	Net Duplication
2	Digital (125, 143, 1864134)-net over F₈	[i]
3	Digital (126, 144, 1864134)-net over F₈	[i]
4	Digital (127, 145, 1864134)-net over F₈	[i]
5	Digital (128, 146, 1864134)-net over F₈	[i]