Information on Result #702734
Linear OA(251, 1023, F2, 11) (dual of [1023, 972, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(263, 1045, F2, 13) (dual of [1045, 982, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(273, 1045, F2, 15) (dual of [1045, 972, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(288, 1060, F2, 17) (dual of [1060, 972, 18]-code) | [i] | ✔ | |
| 4 | Linear OOA(251, 341, F2, 3, 11) (dual of [(341, 3), 972, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(251, 204, F2, 5, 11) (dual of [(204, 5), 969, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(251, 204, F2, 6, 11) (dual of [(204, 6), 1173, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 7 | Linear OOA(251, 204, F2, 7, 11) (dual of [(204, 7), 1377, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(251, 204, F2, 8, 11) (dual of [(204, 8), 1581, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(251, 204, F2, 11, 11) (dual of [(204, 11), 2193, 12]-NRT-code) | [i] | ||