Information on Result #681906
Linear OA(457, 63, F4, 43) (dual of [63, 6, 44]-code), using contraction based on linear OA(4183, 189, F4, 131) (dual of [189, 6, 132]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,128], and minimum distance d ≥ |{−2,−1,…,128}|+1 = 132 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4120, 126, F4, 87) (dual of [126, 6, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4119, 124, F4, 87) (dual of [124, 5, 88]-code) | [i] | ||
| 3 | Linear OA(4181, 186, F4, 131) (dual of [186, 5, 132]-code) | [i] | ||
| 4 | Linear OA(4125, 131, F4, 90) (dual of [131, 6, 91]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(4127, 133, F4, 91) (dual of [133, 6, 92]-code) | [i] | ||
| 6 | Linear OA(4132, 138, F4, 95) (dual of [138, 6, 96]-code) | [i] | ||
| 7 | Linear OA(4137, 143, F4, 99) (dual of [143, 6, 100]-code) | [i] | ||
| 8 | Linear OA(4142, 148, F4, 103) (dual of [148, 6, 104]-code) | [i] | ||
| 9 | Linear OA(4147, 153, F4, 107) (dual of [153, 6, 108]-code) | [i] | ||
| 10 | Linear OA(4124, 129, F4, 90) (dual of [129, 5, 91]-code) | [i] | ||
| 11 | Linear OA(4141, 146, F4, 103) (dual of [146, 5, 104]-code) | [i] | ||
| 12 | Linear OA(4146, 151, F4, 107) (dual of [151, 5, 108]-code) | [i] | ||
| 13 | Linear OA(4125, 130, F4, 91) (dual of [130, 5, 92]-code) | [i] | ||
| 14 | Linear OA(4126, 132, F4, 91) (dual of [132, 6, 92]-code) | [i] | ||
| 15 | Linear OA(2177, 189, F2, 87) (dual of [189, 12, 88]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2176, 186, F2, 87) (dual of [186, 10, 88]-code) | [i] | ||
| 17 | Linear OOA(2240, 126, F2, 2, 131) (dual of [(126, 2), 12, 132]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(2238, 124, F2, 2, 131) (dual of [(124, 2), 10, 132]-NRT-code) | [i] | ||
| 19 | Linear OA(463, 69, F4, 47) (dual of [69, 6, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 20 | Linear OA(463, 70, F4, 47) (dual of [70, 7, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 21 | Linear OA(462, 69, F4, 45) (dual of [69, 7, 46]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 22 | Linear OOA(457, 21, F4, 3, 43) (dual of [(21, 3), 6, 44]-NRT-code) | [i] | OOA Folding | |