MinT - Information on Result #1071569

Information on Result #1071569

Linear OOA(256⁴⁶, 2097150, F₂₅₆, 4, 16) (dual of [(2097150, 4), 8388554, 17]-NRT-code), using OOA 4-folding based on linear OA(256⁴⁶, 8388600, F₂₅₆, 16) (dual of [8388600, 8388554, 17]-code), using

discarding factors / shortening the dual code based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’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(256⁴⁷, 2097150, F₂₅₆, 4, 16) (dual of [(2097150, 4), 8388553, 17]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(256⁵⁴, 2097407, F₂₅₆, 4, 16) (dual of [(2097407, 4), 8389574, 17]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(256⁵⁵, 2097408, F₂₅₆, 4, 16) (dual of [(2097408, 4), 8389577, 17]-NRT-code)	[i]
4	Linear OOA(256⁵⁶, 2097409, F₂₅₆, 4, 16) (dual of [(2097409, 4), 8389580, 17]-NRT-code)	[i]
5	Linear OOA(256⁵⁷, 2097410, F₂₅₆, 4, 16) (dual of [(2097410, 4), 8389583, 17]-NRT-code)	[i]
6	Linear OOA(256⁵⁸, 2097664, F₂₅₆, 4, 16) (dual of [(2097664, 4), 8390598, 17]-NRT-code)	[i]
7	Linear OOA(256⁵⁹, 2097665, F₂₅₆, 4, 16) (dual of [(2097665, 4), 8390601, 17]-NRT-code)	[i]
8	Linear OOA(256⁶⁰, 2097666, F₂₅₆, 4, 16) (dual of [(2097666, 4), 8390604, 17]-NRT-code)	[i]
9	Linear OOA(256⁶⁵, 2113791, F₂₅₆, 4, 16) (dual of [(2113791, 4), 8455099, 17]-NRT-code)	[i]
10	Linear OOA(256⁶⁰, 2097921, F₂₅₆, 4, 16) (dual of [(2097921, 4), 8391624, 17]-NRT-code)	[i]
11	Linear OOA(256⁶⁶, 2162942, F₂₅₆, 4, 16) (dual of [(2162942, 4), 8651702, 17]-NRT-code)	[i]
12	Linear OOA(256⁶⁷, 2162943, F₂₅₆, 4, 16) (dual of [(2162943, 4), 8651705, 17]-NRT-code)	[i]