Information on Result #709715
Linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(570, 124, F5, 35) (dual of [124, 54, 36]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(585, 151, F5, 36) (dual of [151, 66, 37]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(585, 154, F5, 35) (dual of [154, 69, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(589, 161, F5, 36) (dual of [161, 72, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(588, 158, F5, 36) (dual of [158, 70, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(587, 156, F5, 36) (dual of [156, 69, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(585, 152, F5, 36) (dual of [152, 67, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(584, 150, F5, 36) (dual of [150, 66, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(582, 148, F5, 35) (dual of [148, 66, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(594, 158, F5, 42) (dual of [158, 64, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(599, 163, F5, 43) (dual of [163, 64, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(593, 156, F5, 42) (dual of [156, 63, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(591, 154, F5, 41) (dual of [154, 63, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(5103, 167, F5, 44) (dual of [167, 64, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(598, 161, F5, 43) (dual of [161, 63, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(591, 151, F5, 42) (dual of [151, 60, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(5102, 165, F5, 44) (dual of [165, 63, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(589, 146, F5, 42) (dual of [146, 57, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(586, 143, F5, 40) (dual of [143, 57, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(5100, 160, F5, 44) (dual of [160, 60, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(5110, 170, F5, 47) (dual of [170, 60, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(5107, 167, F5, 45) (dual of [167, 60, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(598, 155, F5, 44) (dual of [155, 57, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(5109, 168, F5, 47) (dual of [168, 59, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(5107, 166, F5, 46) (dual of [166, 59, 47]-code) | [i] | ✔ | |
| 26 | Linear OA(5107, 163, F5, 47) (dual of [163, 56, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(5105, 158, F5, 47) (dual of [158, 53, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(5102, 154, F5, 46) (dual of [154, 52, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(599, 153, F5, 45) (dual of [153, 54, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(582, 136, F5, 40) (dual of [136, 54, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(594, 148, F5, 44) (dual of [148, 54, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(5103, 157, F5, 46) (dual of [157, 54, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(5102, 156, F5, 47) (dual of [156, 54, 48]-code) | [i] | ✔ | |
| 34 | Linear OA(5100, 154, F5, 46) (dual of [154, 54, 47]-code) | [i] | ✔ | |
| 35 | Linear OA(5107, 161, F5, 48) (dual of [161, 54, 49]-code) | [i] | ✔ | |
| 36 | Linear OA(5106, 160, F5, 48) (dual of [160, 54, 49]-code) | [i] | ✔ | |
| 37 | Linear OOA(570, 62, F5, 2, 36) (dual of [(62, 2), 54, 37]-NRT-code) | [i] | OOA Folding | |
| 38 | Linear OOA(570, 41, F5, 3, 36) (dual of [(41, 3), 53, 37]-NRT-code) | [i] | ||