MinT - Information on Result #1316287

Information on Result #1316287

Linear OA(256³⁸, 1309, F₂₅₆, 21) (dual of [1309, 1271, 22]-code), using 23 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 22 times 0) based on linear OA(256³⁷, 1285, F₂₅₆, 21) (dual of [1285, 1248, 22]-code), using

the BCH-code C(I) with length 1285Â | 256²âˆ’1, defining interval IÂ =Â {1,78,155,…,256}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(256³⁸, 1309, F₂₅₆, 2, 21) (dual of [(1309, 2), 2580, 22]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(256³⁸, 1309, F₂₅₆, 3, 21) (dual of [(1309, 3), 3889, 22]-NRT-code)	[i]
3	Linear OOA(256³⁸, 1309, F₂₅₆, 4, 21) (dual of [(1309, 4), 5198, 22]-NRT-code)	[i]
4	Linear OOA(256³⁸, 1309, F₂₅₆, 5, 21) (dual of [(1309, 5), 6507, 22]-NRT-code)	[i]
5	Linear OOA(256³⁸, 1309, F₂₅₆, 6, 21) (dual of [(1309, 6), 7816, 22]-NRT-code)	[i]
6	Digital (17, 38, 1309)-net over F₂₅₆	[i]