Information on Result #612982
Linear OA(459, 85, F4, 30) (dual of [85, 26, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [0,28], and minimum distance d ≥ |{−1,0,…,28}|+1 = 31 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(458, 84, F4, 29) (dual of [84, 26, 30]-code) | [i] | Truncation | |
| 2 | Linear OA(4144, 170, F4, 61) (dual of [170, 26, 62]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(4143, 168, F4, 61) (dual of [168, 25, 62]-code) | [i] | ||
| 4 | Linear OA(4142, 166, F4, 61) (dual of [166, 24, 62]-code) | [i] | ||
| 5 | Linear OA(4141, 164, F4, 61) (dual of [164, 23, 62]-code) | [i] | ||
| 6 | Linear OA(4140, 162, F4, 61) (dual of [162, 22, 62]-code) | [i] | ||
| 7 | Linear OA(4139, 160, F4, 61) (dual of [160, 21, 62]-code) | [i] | ||
| 8 | Linear OA(4138, 158, F4, 61) (dual of [158, 20, 62]-code) | [i] | ||
| 9 | Linear OA(4137, 156, F4, 61) (dual of [156, 19, 62]-code) | [i] | ||
| 10 | Linear OA(4136, 154, F4, 61) (dual of [154, 18, 62]-code) | [i] | ||
| 11 | Linear OA(4135, 152, F4, 61) (dual of [152, 17, 62]-code) | [i] | ||
| 12 | Linear OA(460, 87, F4, 30) (dual of [87, 27, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(463, 89, F4, 31) (dual of [89, 26, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(464, 91, F4, 31) (dual of [91, 27, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 15 | Linear OOA(459, 42, F4, 2, 30) (dual of [(42, 2), 25, 31]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(459, 28, F4, 3, 30) (dual of [(28, 3), 25, 31]-NRT-code) | [i] | ||