Information on Result #681270

Linear OA(457, 257, F4, 19) (dual of [257, 200, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(466, 266, F4, 21) (dual of [266, 200, 22]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(458, 266, F4, 19) (dual of [266, 208, 20]-code) [i]✔
3Linear OA(480, 273, F4, 25) (dual of [273, 193, 26]-code) [i]✔
4Linear OA(481, 275, F4, 25) (dual of [275, 194, 26]-code) [i]✔
5Linear OA(482, 281, F4, 25) (dual of [281, 199, 26]-code) [i]✔
6Linear OA(483, 283, F4, 25) (dual of [283, 200, 26]-code) [i]✔
7Linear OA(479, 278, F4, 24) (dual of [278, 199, 25]-code) [i]✔
8Linear OA(480, 280, F4, 24) (dual of [280, 200, 25]-code) [i]✔
9Linear OA(477, 274, F4, 23) (dual of [274, 197, 24]-code) [i]✔
10Linear OA(464, 273, F4, 19) (dual of [273, 209, 20]-code) [i]✔
11Linear OA(465, 275, F4, 19) (dual of [275, 210, 20]-code) [i]✔
12Linear OA(481, 276, F4, 25) (dual of [276, 195, 26]-code) [i]✔Construction XX with a Chain of Cyclic Codes
13Linear OA(480, 274, F4, 25) (dual of [274, 194, 26]-code) [i]✔
14Linear OA(479, 272, F4, 25) (dual of [272, 193, 26]-code) [i]✔
15Linear OA(476, 269, F4, 23) (dual of [269, 193, 24]-code) [i]✔
16Linear OA(468, 269, F4, 21) (dual of [269, 201, 22]-code) [i]✔
17Linear OA(464, 275, F4, 19) (dual of [275, 211, 20]-code) [i]✔
18Linear OA(463, 273, F4, 19) (dual of [273, 210, 20]-code) [i]✔
19Linear OA(462, 271, F4, 19) (dual of [271, 209, 20]-code) [i]✔