Information on Result #702817
Linear OA(2131, 1023, F2, 27) (dual of [1023, 892, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2163, 1075, F2, 31) (dual of [1075, 912, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2143, 1045, F2, 29) (dual of [1045, 902, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(2158, 1060, F2, 31) (dual of [1060, 902, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2173, 1070, F2, 32) (dual of [1070, 897, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(2153, 1045, F2, 31) (dual of [1045, 892, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2168, 1060, F2, 33) (dual of [1060, 892, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(2183, 1075, F2, 35) (dual of [1075, 892, 36]-code) | [i] | ✔ | |
| 8 | Linear OOA(2131, 341, F2, 3, 27) (dual of [(341, 3), 892, 28]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2131, 204, F2, 5, 27) (dual of [(204, 5), 889, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(2131, 170, F2, 6, 27) (dual of [(170, 6), 889, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(2131, 146, F2, 7, 27) (dual of [(146, 7), 891, 28]-NRT-code) | [i] | ||