Information on Result #611125
Linear OA(291, 1024, F2, 19) (dual of [1024, 933, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(2102, 1035, F2, 21) (dual of [1035, 933, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(292, 1035, F2, 19) (dual of [1035, 943, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(2116, 1040, F2, 23) (dual of [1040, 924, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2117, 1050, F2, 23) (dual of [1050, 933, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(296, 1040, F2, 19) (dual of [1040, 944, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(297, 1050, F2, 19) (dual of [1050, 953, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(2132, 1057, F2, 25) (dual of [1057, 925, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(2132, 1059, F2, 25) (dual of [1059, 927, 26]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2131, 1057, F2, 25) (dual of [1057, 926, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(2116, 1042, F2, 23) (dual of [1042, 926, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2121, 1057, F2, 23) (dual of [1057, 936, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(2106, 1042, F2, 21) (dual of [1042, 936, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(296, 1042, F2, 19) (dual of [1042, 946, 20]-code) | [i] | ✔ | |
| 14 | Linear OOA(291, 512, F2, 2, 19) (dual of [(512, 2), 933, 20]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(291, 256, F2, 4, 19) (dual of [(256, 4), 933, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(291, 128, F2, 8, 19) (dual of [(128, 8), 933, 20]-NRT-code) | [i] | ||