Information on Result #692057
Linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(1641, 4123, F16, 12) (dual of [4123, 4082, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1642, 4132, F16, 12) (dual of [4132, 4090, 13]-code) | [i] | ||
| 3 | Linear OA(1643, 4137, F16, 12) (dual of [4137, 4094, 13]-code) | [i] | ||
| 4 | Linear OA(1636, 4116, F16, 12) (dual of [4116, 4080, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1637, 4273, F16, 12) (dual of [4273, 4236, 13]-code) | [i] | ||
| 6 | Linear OA(1638, 4900, F16, 12) (dual of [4900, 4862, 13]-code) | [i] | ||
| 7 | Linear OA(1639, 6117, F16, 12) (dual of [6117, 6078, 13]-code) | [i] | ||
| 8 | Linear OOA(1634, 2049, F16, 2, 12) (dual of [(2049, 2), 4064, 13]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(1634, 683, F16, 12, 12) (dual of [(683, 12), 8162, 13]-NRT-code) | [i] | OA Folding and Stacking | |