Information on Result #615266

Linear OA(8169, 4097, F8, 49) (dual of [4097, 3928, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound)

Mode: Constructive and 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:

ResultThis
result
only		Method
1Linear OA(8168, 4096, F8, 48) (dual of [4096, 3928, 49]-code) [i]Truncation
2Linear OOA(8169, 4097, F8, 2, 49) (dual of [(4097, 2), 8025, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8169, 4097, F8, 3, 49) (dual of [(4097, 3), 12122, 50]-NRT-code) [i]
4Digital (120, 169, 4097)-net over F8 [i]
5Linear OA(8170, 4256, F8, 49) (dual of [4256, 4086, 50]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(8171, 4440, F8, 49) (dual of [4440, 4269, 50]-code) [i]
7Linear OA(8170, 4106, F8, 47) (dual of [4106, 3936, 48]-code) [i]✔Construction X with Cyclic Codes
8Linear OA(8172, 4107, F8, 49) (dual of [4107, 3935, 50]-code) [i]✔
9Linear OA(8173, 4109, F8, 49) (dual of [4109, 3936, 50]-code) [i]✔
10Linear OA(8173, 4117, F8, 47) (dual of [4117, 3944, 48]-code) [i]✔
11Linear OA(8172, 4109, F8, 47) (dual of [4109, 3937, 48]-code) [i]✔Construction XX with a Chain of Cyclic Codes