Information on Result #681908
Linear OA(450, 63, F4, 30) (dual of [63, 13, 31]-code), using contraction based on linear OA(4176, 189, F4, 92) (dual of [189, 13, 93]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,89], and minimum distance d ≥ |{−2,−1,…,89}|+1 = 93 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4113, 126, F4, 61) (dual of [126, 13, 62]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4112, 124, F4, 61) (dual of [124, 12, 62]-code) | [i] | ||
| 3 | Linear OA(4111, 122, F4, 61) (dual of [122, 11, 62]-code) | [i] | ||
| 4 | Linear OA(2163, 189, F2, 61) (dual of [189, 26, 62]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(2162, 186, F2, 61) (dual of [186, 24, 62]-code) | [i] | ||
| 6 | Linear OA(452, 68, F4, 30) (dual of [68, 16, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(462, 75, F4, 36) (dual of [75, 13, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(451, 70, F4, 28) (dual of [70, 19, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(454, 73, F4, 30) (dual of [73, 19, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(458, 80, F4, 30) (dual of [80, 22, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(456, 76, F4, 30) (dual of [76, 20, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(462, 76, F4, 36) (dual of [76, 14, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(458, 81, F4, 30) (dual of [81, 23, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(454, 74, F4, 30) (dual of [74, 20, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(451, 71, F4, 28) (dual of [71, 20, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(452, 69, F4, 30) (dual of [69, 17, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(452, 69, F4, 29) (dual of [69, 17, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(455, 76, F4, 28) (dual of [76, 21, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(457, 77, F4, 30) (dual of [77, 20, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(454, 74, F4, 28) (dual of [74, 20, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(455, 75, F4, 30) (dual of [75, 20, 31]-code) | [i] | ✔ | |
| 22 | Linear OOA(450, 21, F4, 3, 30) (dual of [(21, 3), 13, 31]-NRT-code) | [i] | OOA Folding | |