Information on Result #702829
Linear OA(2141, 1023, F2, 29) (dual of [1023, 882, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2173, 1075, F2, 33) (dual of [1075, 902, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2153, 1045, F2, 31) (dual of [1045, 892, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2168, 1060, F2, 33) (dual of [1060, 892, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2163, 1045, F2, 33) (dual of [1045, 882, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2208, 1085, F2, 38) (dual of [1085, 877, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(2219, 1095, F2, 40) (dual of [1095, 876, 41]-code) | [i] | ✔ | |
| 7 | Linear OOA(2141, 341, F2, 3, 29) (dual of [(341, 3), 882, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2141, 170, F2, 6, 29) (dual of [(170, 6), 879, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(2141, 146, F2, 7, 29) (dual of [(146, 7), 881, 30]-NRT-code) | [i] | ||