Information on Result #702281
Linear OA(2109, 511, F2, 25) (dual of [511, 402, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26
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.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- 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(2139, 559, F2, 29) (dual of [559, 420, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2138, 551, F2, 29) (dual of [551, 413, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(2120, 531, F2, 27) (dual of [531, 411, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2134, 545, F2, 29) (dual of [545, 411, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(2148, 557, F2, 30) (dual of [557, 409, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(2148, 554, F2, 31) (dual of [554, 406, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2129, 531, F2, 29) (dual of [531, 402, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(2143, 545, F2, 31) (dual of [545, 402, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2142, 537, F2, 31) (dual of [537, 395, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2157, 557, F2, 32) (dual of [557, 400, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(2157, 554, F2, 33) (dual of [554, 397, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2157, 559, F2, 33) (dual of [559, 402, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2156, 551, F2, 33) (dual of [551, 395, 34]-code) | [i] | ✔ | |
| 14 | Linear OOA(2109, 102, F2, 5, 25) (dual of [(102, 5), 401, 26]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2109, 85, F2, 6, 25) (dual of [(85, 6), 401, 26]-NRT-code) | [i] | ||
| 16 | Linear OOA(2109, 73, F2, 7, 25) (dual of [(73, 7), 402, 26]-NRT-code) | [i] | ||