MinT - Information on Result #1068904

Information on Result #1068904

Linear OOA(81⁶¹, 2097150, F₈₁, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using OOA 4-folding based on linear OA(81⁶¹, 8388600, F₈₁, 16) (dual of [8388600, 8388539, 17]-code), using

discarding factors / shortening the dual code based on linear OA(81⁶¹, large, F₈₁, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(81⁶², 2097150, F₈₁, 4, 16) (dual of [(2097150, 4), 8388538, 17]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²⁴⁴, 8388600, F₃, 4, 16) (dual of [(8388600, 4), 33554156, 17]-NRT-code)	[i]	Trace Code for OOAs
3	Linear OOA(81⁶⁹, 2097232, F₈₁, 4, 16) (dual of [(2097232, 4), 8388859, 17]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(81⁷⁰, 2097250, F₈₁, 4, 16) (dual of [(2097250, 4), 8388930, 17]-NRT-code)	[i]
5	Linear OOA(81⁷¹, 2097266, F₈₁, 4, 16) (dual of [(2097266, 4), 8388993, 17]-NRT-code)	[i]
6	Linear OOA(81⁷³, 2097314, F₈₁, 4, 16) (dual of [(2097314, 4), 8389183, 17]-NRT-code)	[i]
7	Linear OOA(81⁷⁴, 2097332, F₈₁, 4, 16) (dual of [(2097332, 4), 8389254, 17]-NRT-code)	[i]
8	Linear OOA(81⁷⁵, 2097350, F₈₁, 4, 16) (dual of [(2097350, 4), 8389325, 17]-NRT-code)	[i]
9	Linear OOA(81⁸⁰, 2098872, F₈₁, 4, 16) (dual of [(2098872, 4), 8395408, 17]-NRT-code)	[i]
10	Linear OOA(81⁷⁵, 2097396, F₈₁, 4, 16) (dual of [(2097396, 4), 8389509, 17]-NRT-code)	[i]
11	Linear OOA(81⁸¹, 2103792, F₈₁, 4, 16) (dual of [(2103792, 4), 8415087, 17]-NRT-code)	[i]
12	Linear OOA(81⁸², 2103810, F₈₁, 4, 16) (dual of [(2103810, 4), 8415158, 17]-NRT-code)	[i]