Information on Result #610954
Linear OA(269, 131073, F2, 9) (dual of [131073, 131004, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(268, 131072, F2, 8) (dual of [131072, 131004, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(273, 131078, F2, 9) (dual of [131078, 131005, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2106, 131077, F2, 13) (dual of [131077, 130971, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(2107, 131081, F2, 13) (dual of [131081, 130974, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(2108, 131089, F2, 13) (dual of [131089, 130981, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(272, 131077, F2, 9) (dual of [131077, 131005, 10]-code) | [i] | ✔ | |
| 7 | Linear OOA(269, 43691, F2, 3, 9) (dual of [(43691, 3), 131004, 10]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(269, 32768, F2, 5, 9) (dual of [(32768, 5), 163771, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(269, 32768, F2, 6, 9) (dual of [(32768, 6), 196539, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(269, 32768, F2, 7, 9) (dual of [(32768, 7), 229307, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(269, 32768, F2, 8, 9) (dual of [(32768, 8), 262075, 10]-NRT-code) | [i] | ||