Information on Result #700554
Linear OA(2119, 127, F2, 62) (dual of [127, 8, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 63
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 Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2119, 127, F2, 61) (dual of [127, 8, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2119, 127, F2, 60) (dual of [127, 8, 61]-code) | [i] | ||
| 3 | Linear OA(2121, 129, F2, 62) (dual of [129, 8, 63]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2122, 130, F2, 62) (dual of [130, 8, 63]-code) | [i] | ||
| 5 | Linear OA(2123, 131, F2, 62) (dual of [131, 8, 63]-code) | [i] | ||
| 6 | Linear OA(2124, 132, F2, 62) (dual of [132, 8, 63]-code) | [i] | ||
| 7 | Linear OA(2194, 202, F2, 98) (dual of [202, 8, 99]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(2190, 198, F2, 96) (dual of [198, 8, 97]-code) | [i] | ✔ | |
| 9 | Linear OA(2150, 165, F2, 70) (dual of [165, 15, 71]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(2147, 162, F2, 68) (dual of [162, 15, 69]-code) | [i] | ✔ | |
| 11 | Linear OA(2143, 158, F2, 66) (dual of [158, 15, 67]-code) | [i] | ✔ | |
| 12 | Linear OA(2139, 154, F2, 64) (dual of [154, 15, 65]-code) | [i] | ✔ | |
| 13 | Linear OA(2149, 162, F2, 70) (dual of [162, 13, 71]-code) | [i] | ✔ | |
| 14 | Linear OA(2146, 159, F2, 68) (dual of [159, 13, 69]-code) | [i] | ✔ | |
| 15 | Linear OA(2142, 155, F2, 66) (dual of [155, 13, 67]-code) | [i] | ✔ | |
| 16 | Linear OA(2138, 151, F2, 64) (dual of [151, 13, 65]-code) | [i] | ✔ | |
| 17 | Linear OA(2134, 143, F2, 64) (dual of [143, 9, 65]-code) | [i] | ✔ | |
| 18 | Linear OOA(2119, 63, F2, 2, 62) (dual of [(63, 2), 7, 63]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2119, 42, F2, 3, 62) (dual of [(42, 3), 7, 63]-NRT-code) | [i] | ||
| 20 | Linear OOA(2119, 25, F2, 5, 62) (dual of [(25, 5), 6, 63]-NRT-code) | [i] | ||