MinT - Information on Result #993721

Information on Result #993721

Linear OOA(256⁵², 2796201, F₂₅₆, 3, 18) (dual of [(2796201, 3), 8388551, 19]-NRT-code), using OOA 3-folding based on linear OA(256⁵², large, F₂₅₆, 18) (dual of [large, large−52, 19]-code), using

the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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(256⁵⁵, 2796202, F₂₅₆, 3, 18) (dual of [(2796202, 3), 8388551, 19]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(256⁵⁸, 2796203, F₂₅₆, 3, 18) (dual of [(2796203, 3), 8388551, 19]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(256⁵³, 2796201, F₂₅₆, 3, 18) (dual of [(2796201, 3), 8388550, 19]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(256⁵⁴, 2796201, F₂₅₆, 3, 18) (dual of [(2796201, 3), 8388549, 19]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(256⁶¹, 2796458, F₂₅₆, 3, 18) (dual of [(2796458, 3), 8389313, 19]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(256⁶², 2796459, F₂₅₆, 3, 18) (dual of [(2796459, 3), 8389315, 19]-NRT-code)	[i]
7	Linear OOA(256⁶³, 2796460, F₂₅₆, 3, 18) (dual of [(2796460, 3), 8389317, 19]-NRT-code)	[i]
8	Linear OOA(256⁶⁴, 2796461, F₂₅₆, 3, 18) (dual of [(2796461, 3), 8389319, 19]-NRT-code)	[i]
9	Linear OOA(256⁶⁵, 2796715, F₂₅₆, 3, 18) (dual of [(2796715, 3), 8390080, 19]-NRT-code)	[i]
10	Linear OOA(256⁶⁶, 2796716, F₂₅₆, 3, 18) (dual of [(2796716, 3), 8390082, 19]-NRT-code)	[i]
11	Linear OOA(256⁶⁷, 2796717, F₂₅₆, 3, 18) (dual of [(2796717, 3), 8390084, 19]-NRT-code)	[i]
12	Linear OOA(256⁶⁸, 2796718, F₂₅₆, 3, 18) (dual of [(2796718, 3), 8390086, 19]-NRT-code)	[i]
13	Linear OOA(256⁶⁸, 2796972, F₂₅₆, 3, 18) (dual of [(2796972, 3), 8390848, 19]-NRT-code)	[i]
14	Linear OOA(256⁵², 2796201, F₂₅₆, 4, 18) (dual of [(2796201, 4), 11184752, 19]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
15	Linear OOA(256⁵², 2796201, F₂₅₆, 5, 18) (dual of [(2796201, 5), 13980953, 19]-NRT-code)	[i]
16	Linear OOA(256⁵², 2796201, F₂₅₆, 6, 18) (dual of [(2796201, 6), 16777154, 19]-NRT-code)	[i]
17	Digital (34, 52, 2796201)-net over F₂₅₆	[i]