Information on Result #641030
Linear OA(4260, 276, F4, 174) (dual of [276, 16, 175]-code), using juxtaposition based on
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4260, 276, F4, 173) (dual of [276, 16, 174]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4260, 276, F4, 172) (dual of [276, 16, 173]-code) | [i] | ||
| 3 | Linear OA(4260, 276, F4, 171) (dual of [276, 16, 172]-code) | [i] | ||
| 4 | Linear OA(4260, 276, F4, 170) (dual of [276, 16, 171]-code) | [i] | ||
| 5 | Linear OA(4260, 276, F4, 169) (dual of [276, 16, 170]-code) | [i] | ||
| 6 | Linear OA(4260, 276, F4, 168) (dual of [276, 16, 169]-code) | [i] | ||
| 7 | Linear OA(4260, 276, F4, 167) (dual of [276, 16, 168]-code) | [i] | ||
| 8 | Linear OA(4260, 276, F4, 166) (dual of [276, 16, 167]-code) | [i] | ||
| 9 | Linear OA(4260, 276, F4, 165) (dual of [276, 16, 166]-code) | [i] | ||
| 10 | Linear OA(4260, 276, F4, 164) (dual of [276, 16, 165]-code) | [i] | ||
| 11 | Linear OA(4259, 275, F4, 173) (dual of [275, 16, 174]-code) | [i] | Truncation | |
| 12 | Linear OA(4256, 272, F4, 170) (dual of [272, 16, 171]-code) | [i] | ||
| 13 | Linear OA(4255, 271, F4, 169) (dual of [271, 16, 170]-code) | [i] | ||
| 14 | Linear OA(4254, 270, F4, 168) (dual of [270, 16, 169]-code) | [i] | ||
| 15 | Linear OA(4252, 268, F4, 166) (dual of [268, 16, 167]-code) | [i] | ||
| 16 | Linear OA(4251, 267, F4, 165) (dual of [267, 16, 166]-code) | [i] | ||
| 17 | Linear OA(4249, 265, F4, 163) (dual of [265, 16, 164]-code) | [i] | ||
| 18 | Linear OA(4248, 264, F4, 162) (dual of [264, 16, 163]-code) | [i] | ||
| 19 | Linear OA(4245, 261, F4, 159) (dual of [261, 16, 160]-code) | [i] | ||
| 20 | Linear OA(4244, 260, F4, 158) (dual of [260, 16, 159]-code) | [i] | ||
| 21 | Linear OA(4243, 259, F4, 157) (dual of [259, 16, 158]-code) | [i] | ||
| 22 | Linear OA(4242, 258, F4, 156) (dual of [258, 16, 157]-code) | [i] | ||
| 23 | Linear OA(4239, 255, F4, 153) (dual of [255, 16, 154]-code) | [i] | ||
| 24 | Linear OA(4238, 254, F4, 152) (dual of [254, 16, 153]-code) | [i] | ||
| 25 | Linear OA(4237, 253, F4, 151) (dual of [253, 16, 152]-code) | [i] | ||
| 26 | Linear OA(4236, 252, F4, 150) (dual of [252, 16, 151]-code) | [i] | ||
| 27 | Linear OA(4235, 251, F4, 149) (dual of [251, 16, 150]-code) | [i] | ||
| 28 | Linear OA(4234, 250, F4, 148) (dual of [250, 16, 149]-code) | [i] | ||
| 29 | Linear OA(4233, 249, F4, 147) (dual of [249, 16, 148]-code) | [i] | ||
| 30 | Linear OA(4232, 248, F4, 146) (dual of [248, 16, 147]-code) | [i] | ||
| 31 | Linear OA(4231, 247, F4, 145) (dual of [247, 16, 146]-code) | [i] | ||
| 32 | Linear OA(4230, 246, F4, 144) (dual of [246, 16, 145]-code) | [i] | ||