Information on Result #619903
Linear OA(2225, 255, F2, 93) (dual of [255, 30, 94]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,8}, and designed minimum distance d ≥ |I|+1 = 94
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(2225, 255, F2, 92) (dual of [255, 30, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2224, 254, F2, 92) (dual of [254, 30, 93]-code) | [i] | Truncation | |
| 3 | Linear OA(2132, 161, F2, 46) (dual of [161, 29, 47]-code) | [i] | Residual Code | |
| 4 | Linear OA(2230, 268, F2, 93) (dual of [268, 38, 94]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2237, 279, F2, 93) (dual of [279, 42, 94]-code) | [i] | ✔ | |
| 6 | Linear OA(2228, 258, F2, 95) (dual of [258, 30, 96]-code) | [i] | ✔ | |
| 7 | Linear OA(2245, 275, F2, 101) (dual of [275, 30, 102]-code) | [i] | ✔ | |
| 8 | Linear OA(2242, 272, F2, 99) (dual of [272, 30, 100]-code) | [i] | ✔ | |
| 9 | Linear OA(2238, 268, F2, 97) (dual of [268, 30, 98]-code) | [i] | ✔ | |
| 10 | Linear OA(2233, 271, F2, 95) (dual of [271, 38, 96]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(2229, 267, F2, 93) (dual of [267, 38, 94]-code) | [i] | ✔ | |
| 12 | Linear OA(2250, 288, F2, 99) (dual of [288, 38, 100]-code) | [i] | ✔ | |
| 13 | Linear OA(2245, 283, F2, 97) (dual of [283, 38, 98]-code) | [i] | ✔ | |
| 14 | Linear OA(2249, 286, F2, 99) (dual of [286, 37, 100]-code) | [i] | ✔ | |
| 15 | Linear OA(2248, 278, F2, 103) (dual of [278, 30, 104]-code) | [i] | ✔ | |
| 16 | Linear OA(2241, 271, F2, 99) (dual of [271, 30, 100]-code) | [i] | ✔ | |
| 17 | Linear OA(2237, 267, F2, 97) (dual of [267, 30, 98]-code) | [i] | ✔ | |
| 18 | Linear OOA(2225, 127, F2, 2, 93) (dual of [(127, 2), 29, 94]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2225, 85, F2, 3, 93) (dual of [(85, 3), 30, 94]-NRT-code) | [i] | ||
| 20 | Linear OOA(2225, 51, F2, 5, 93) (dual of [(51, 5), 30, 94]-NRT-code) | [i] | ||