Information on Result #701654
Linear OA(2124, 255, F2, 36) (dual of [255, 131, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2124, 255, F2, 35) (dual of [255, 131, 36]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2124, 255, F2, 34) (dual of [255, 131, 35]-code) | [i] | ||
| 3 | Linear OA(2126, 257, F2, 36) (dual of [257, 131, 37]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2127, 258, F2, 36) (dual of [258, 131, 37]-code) | [i] | ||
| 5 | Linear OA(2128, 259, F2, 36) (dual of [259, 131, 37]-code) | [i] | ||
| 6 | Linear OA(2136, 291, F2, 32) (dual of [291, 155, 33]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2146, 277, F2, 41) (dual of [277, 131, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(2143, 274, F2, 40) (dual of [274, 131, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(2175, 303, F2, 46) (dual of [303, 128, 47]-code) | [i] | ✔ | |
| 10 | Linear OOA(2124, 127, F2, 2, 36) (dual of [(127, 2), 130, 37]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2124, 85, F2, 3, 36) (dual of [(85, 3), 131, 37]-NRT-code) | [i] | ||
| 12 | Linear OOA(2124, 63, F2, 4, 36) (dual of [(63, 4), 128, 37]-NRT-code) | [i] | ||
| 13 | Linear OOA(2124, 51, F2, 5, 36) (dual of [(51, 5), 131, 37]-NRT-code) | [i] | ||