Information on Result #700665
Linear OA(2113, 127, F2, 55) (dual of [127, 14, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,47], and designed minimum distance d ≥ |I|+1 = 56
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
- Codes by De Boer and Brouwer (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2145, 173, F2, 57) (dual of [173, 28, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2146, 171, F2, 59) (dual of [171, 25, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(2142, 167, F2, 57) (dual of [167, 25, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(2150, 171, F2, 62) (dual of [171, 21, 63]-code) | [i] | ✔ | |
| 5 | Linear OA(2137, 158, F2, 59) (dual of [158, 21, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(2133, 154, F2, 57) (dual of [154, 21, 58]-code) | [i] | ✔ | |
| 7 | Linear OOA(2113, 42, F2, 3, 55) (dual of [(42, 3), 13, 56]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2113, 25, F2, 5, 55) (dual of [(25, 5), 12, 56]-NRT-code) | [i] | ||