Information on Result #709979
Linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(583, 161, F5, 33) (dual of [161, 78, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(584, 150, F5, 36) (dual of [150, 66, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(582, 148, F5, 35) (dual of [148, 66, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(592, 155, F5, 40) (dual of [155, 63, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(590, 153, F5, 40) (dual of [153, 63, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(597, 156, F5, 43) (dual of [156, 59, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(5101, 157, F5, 44) (dual of [157, 56, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(5101, 160, F5, 44) (dual of [160, 59, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(5105, 161, F5, 45) (dual of [161, 56, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(593, 156, F5, 42) (dual of [156, 63, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(591, 154, F5, 41) (dual of [154, 63, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(598, 161, F5, 43) (dual of [161, 63, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(5102, 165, F5, 44) (dual of [165, 63, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(5109, 168, F5, 47) (dual of [168, 59, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(5107, 166, F5, 46) (dual of [166, 59, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(5106, 169, F5, 45) (dual of [169, 63, 46]-code) | [i] | ✔ | |
| 17 | Linear OOA(561, 62, F5, 2, 31) (dual of [(62, 2), 63, 32]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(561, 41, F5, 3, 31) (dual of [(41, 3), 62, 32]-NRT-code) | [i] | ||