MinT - Information on Result #1201886

Information on Result #1201886

Digital (48, 73, 21845)-net over F₆₄, using net defined by OOA based on linear OOA(64⁷³, 21845, F₆₄, 25, 25) (dual of [(21845, 25), 546052, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(64⁷³, 262141, F₆₄, 25) (dual of [262141, 262068, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁷³, 262144, F₆₄, 25) (dual of [262144, 262071, 26]-code), using
  - an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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 (49, 74, 21845)-net over F₆₄	[i]	Net Duplication
2	Digital (60, 85, 21910)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
3	Digital (61, 86, 21925)-net over F₆₄	[i]
4	Digital (63, 88, 21949)-net over F₆₄	[i]
5	Digital (65, 90, 21973)-net over F₆₄	[i]
6	Digital (66, 91, 21975)-net over F₆₄	[i]