Information on Result #610898
Linear OA(219, 64, F2, 7) (dual of [64, 45, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2260, 4161, F2, 41) (dual of [4161, 3901, 42]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(226, 71, F2, 9) (dual of [71, 45, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(220, 71, F2, 7) (dual of [71, 51, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(232, 72, F2, 11) (dual of [72, 40, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(233, 78, F2, 11) (dual of [78, 45, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(232, 73, F2, 11) (dual of [73, 41, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(231, 71, F2, 11) (dual of [71, 40, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(220, 72, F2, 7) (dual of [72, 52, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OOA(219, 32, F2, 2, 7) (dual of [(32, 2), 45, 8]-NRT-code) | [i] | OOA Folding | |