MinT - Information on Result #860771

Information on Result #860771

Linear OOA(25²⁶, 4194301, F₂₅, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using OOA 2-folding based on linear OA(25²⁶, 8388602, F₂₅, 6) (dual of [8388602, 8388576, 7]-code), using

discarding factors / shortening the dual code based on linear OA(25²⁶, large, F₂₅, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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(25²⁸, 4194302, F₂₅, 2, 6) (dual of [(4194302, 2), 8388576, 7]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(25²⁷, 4194301, F₂₅, 2, 6) (dual of [(4194301, 2), 8388575, 7]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(5⁵², 8388602, F₅, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-code)	[i]	Trace Code for OOAs
4	Linear OOA(25²⁹, 4194327, F₂₅, 2, 6) (dual of [(4194327, 2), 8388625, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(25³⁰, 4194927, F₂₅, 2, 6) (dual of [(4194927, 2), 8389824, 7]-NRT-code)	[i]
6	Linear OOA(25³¹, 4195835, F₂₅, 2, 6) (dual of [(4195835, 2), 8391639, 7]-NRT-code)	[i]
7	Linear OOA(25³², 4210629, F₂₅, 2, 6) (dual of [(4210629, 2), 8421226, 7]-NRT-code)	[i]
8	Linear OOA(25³³, 4586176, F₂₅, 2, 6) (dual of [(4586176, 2), 9172319, 7]-NRT-code)	[i]
9	Linear OOA(25³⁴, 5153052, F₂₅, 2, 6) (dual of [(5153052, 2), 10306070, 7]-NRT-code)	[i]
10	Linear OOA(25³⁵, 8388602, F₂₅, 2, 6) (dual of [(8388602, 2), 16777169, 7]-NRT-code)	[i]
11	Linear OOA(25⁸², 8388602, F₂₅, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code)	[i]
12	Linear OOA(25⁸⁷, 8388602, F₂₅, 2, 13) (dual of [(8388602, 2), 16777117, 14]-NRT-code)	[i]