Information on Result #702736
Linear OA(260, 1023, F2, 12) (dual of [1023, 963, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(276, 1049, F2, 15) (dual of [1049, 973, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(273, 1046, F2, 14) (dual of [1046, 973, 15]-code) | [i] | ✔ | |
3 | Linear OA(286, 1049, F2, 17) (dual of [1049, 963, 18]-code) | [i] | ✔ | |
4 | Linear OA(283, 1046, F2, 16) (dual of [1046, 963, 17]-code) | [i] | ✔ | |
5 | Linear OA(298, 1061, F2, 18) (dual of [1061, 963, 19]-code) | [i] | ✔ | |
6 | Linear OOA(260, 341, F2, 3, 12) (dual of [(341, 3), 963, 13]-NRT-code) | [i] | OOA Folding | |
7 | Linear OOA(260, 204, F2, 5, 12) (dual of [(204, 5), 960, 13]-NRT-code) | [i] | ||
8 | Linear OOA(260, 170, F2, 6, 12) (dual of [(170, 6), 960, 13]-NRT-code) | [i] | ||
9 | Linear OOA(260, 170, F2, 7, 12) (dual of [(170, 7), 1130, 13]-NRT-code) | [i] | OA Folding and Stacking | |
10 | Linear OOA(260, 170, F2, 8, 12) (dual of [(170, 8), 1300, 13]-NRT-code) | [i] | ||
11 | Linear OOA(260, 170, F2, 12, 12) (dual of [(170, 12), 1980, 13]-NRT-code) | [i] |