Information on Result #698742
Linear OA(6421, 4096, F64, 11) (dual of [4096, 4075, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(6423, 4098, F64, 12) (dual of [4098, 4075, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(6429, 4104, F64, 14) (dual of [4104, 4075, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(6423, 4104, F64, 11) (dual of [4104, 4081, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(6435, 4110, F64, 16) (dual of [4110, 4075, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(6425, 4110, F64, 11) (dual of [4110, 4085, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(6441, 4116, F64, 18) (dual of [4116, 4075, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(6447, 4122, F64, 20) (dual of [4122, 4075, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(6453, 4128, F64, 22) (dual of [4128, 4075, 23]-code) | [i] | ✔ | |
| 10 | Linear OOA(6421, 819, F64, 11, 11) (dual of [(819, 11), 8988, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |