Information on Result #706280

Linear OA(458, 255, F4, 20) (dual of [255, 197, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(463, 280, F4, 20) (dual of [280, 217, 21]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(464, 295, F4, 20) (dual of [295, 231, 21]-code) [i]
3Linear OA(465, 314, F4, 20) (dual of [314, 249, 21]-code) [i]
4Linear OA(465, 266, F4, 22) (dual of [266, 201, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(481, 288, F4, 25) (dual of [288, 207, 26]-code) [i]✔
6Linear OA(479, 286, F4, 24) (dual of [286, 207, 25]-code) [i]✔
7Linear OA(480, 285, F4, 25) (dual of [285, 205, 26]-code) [i]✔
8Linear OA(478, 279, F4, 25) (dual of [279, 201, 26]-code) [i]✔
9Linear OA(476, 277, F4, 24) (dual of [277, 201, 25]-code) [i]✔
10Linear OA(486, 287, F4, 26) (dual of [287, 201, 27]-code) [i]✔
11Linear OA(481, 278, F4, 26) (dual of [278, 197, 27]-code) [i]✔
12Linear OA(473, 270, F4, 24) (dual of [270, 197, 25]-code) [i]✔
13Linear OA(486, 283, F4, 27) (dual of [283, 197, 28]-code) [i]✔
14Linear OA(493, 290, F4, 29) (dual of [290, 197, 30]-code) [i]✔
15Linear OA(491, 288, F4, 28) (dual of [288, 197, 29]-code) [i]✔
16Linear OA(492, 282, F4, 29) (dual of [282, 190, 30]-code) [i]✔
17Linear OOA(458, 127, F4, 2, 20) (dual of [(127, 2), 196, 21]-NRT-code) [i]OOA Folding
18Linear OOA(458, 85, F4, 3, 20) (dual of [(85, 3), 197, 21]-NRT-code) [i]