Information on Result #702751
Linear OA(271, 1023, F2, 15) (dual of [1023, 952, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(283, 1045, F2, 17) (dual of [1045, 962, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(298, 1060, F2, 19) (dual of [1060, 962, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(293, 1045, F2, 19) (dual of [1045, 952, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2108, 1060, F2, 21) (dual of [1060, 952, 22]-code) | [i] | ✔ | |
| 5 | Linear OOA(271, 341, F2, 3, 15) (dual of [(341, 3), 952, 16]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(271, 204, F2, 5, 15) (dual of [(204, 5), 949, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(271, 170, F2, 6, 15) (dual of [(170, 6), 949, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(271, 146, F2, 7, 15) (dual of [(146, 7), 951, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(271, 146, F2, 8, 15) (dual of [(146, 8), 1097, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 10 | Linear OOA(271, 146, F2, 15, 15) (dual of [(146, 15), 2119, 16]-NRT-code) | [i] | ||