MinT - Information on Result #1316276

Information on Result #1316276

Linear OA(256²⁹, 1300, F₂₅₆, 16) (dual of [1300, 1271, 17]-code), using 14 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 13 times 0) based on linear OA(256²⁸, 1285, F₂₅₆, 16) (dual of [1285, 1257, 17]-code), using

the BCH-code C(I) with length 1285Â | 256²âˆ’1, defining interval IÂ =Â {1,18,35,…,256}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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(256²⁹, 1300, F₂₅₆, 2, 16) (dual of [(1300, 2), 2571, 17]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(256²⁹, 1300, F₂₅₆, 3, 16) (dual of [(1300, 3), 3871, 17]-NRT-code)	[i]
3	Linear OOA(256²⁹, 1300, F₂₅₆, 4, 16) (dual of [(1300, 4), 5171, 17]-NRT-code)	[i]
4	Linear OOA(256²⁹, 1300, F₂₅₆, 5, 16) (dual of [(1300, 5), 6471, 17]-NRT-code)	[i]
5	Linear OOA(256²⁹, 1300, F₂₅₆, 6, 16) (dual of [(1300, 6), 7771, 17]-NRT-code)	[i]
6	Digital (13, 29, 1300)-net over F₂₅₆	[i]