Information on Result #692058
Linear OA(1631, 4096, F16, 11) (dual of [4096, 4065, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, 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 OOA(1631, 2850, F16, 2, 11) (dual of [(2850, 2), 5669, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (20, 31, 2850)-net over F16 | [i] | ||
| 3 | Linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1631, 4099, F16, 11) (dual of [4099, 4068, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(1642, 4107, F16, 14) (dual of [4107, 4065, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(1633, 4107, F16, 11) (dual of [4107, 4074, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(1652, 4117, F16, 17) (dual of [4117, 4065, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(1650, 4113, F16, 16) (dual of [4113, 4063, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(1636, 4116, F16, 11) (dual of [4116, 4080, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(1656, 4120, F16, 18) (dual of [4120, 4064, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(1657, 4122, F16, 18) (dual of [4122, 4065, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(1661, 4126, F16, 19) (dual of [4126, 4065, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(1665, 4129, F16, 20) (dual of [4129, 4064, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(1666, 4131, F16, 20) (dual of [4131, 4065, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(1670, 4134, F16, 21) (dual of [4134, 4064, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(1671, 4136, F16, 21) (dual of [4136, 4065, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(1675, 4140, F16, 22) (dual of [4140, 4065, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(1651, 4114, F16, 17) (dual of [4114, 4063, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(1632, 4107, F16, 10) (dual of [4107, 4075, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 20 | Linear OOA(1631, 819, F16, 11, 11) (dual of [(819, 11), 8978, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |