MinT - Information on Result #1201858

Information on Result #1201858

Digital (46, 70, 21845)-net over F₆₄, using net defined by OOA based on linear OOA(64⁷⁰, 21845, F₆₄, 24, 24) (dual of [(21845, 24), 524210, 25]-NRT-code), using

OA 12-folding and stacking [i] based on linear OA(64⁷⁰, 262140, F₆₄, 24) (dual of [262140, 262070, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁷⁰, 262144, F₆₄, 24) (dual of [262144, 262074, 25]-code), using
  - an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [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		This result only	Method
1	Digital (47, 71, 21845)-net over F₆₄	[i]		Net Duplication
2	Digital (58, 82, 21910)-net over F₆₄	[i]		(u,Â u+v)-Construction for Nets
3	Digital (59, 83, 21925)-net over F₆₄	[i]
4	Digital (61, 85, 21949)-net over F₆₄	[i]
5	Digital (63, 87, 21973)-net over F₆₄	[i]
6	Digital (64, 88, 21975)-net over F₆₄	[i]
7	Digital (65, 89, 22022)-net over F₆₄	[i]
8	(60, 84, 21845)-net in base 32	[i]		Base Change
9	(81, 105, 21845)-net in base 16	[i]		Base Change