Information on Result #692047
Linear OA(1658, 4099, F16, 21) (dual of [4099, 4041, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(1658, 4096, F16, 21) (dual of [4096, 4038, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1655, 4096, F16, 20) (dual of [4096, 4041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(1671, 4137, F16, 21) (dual of [4137, 4066, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1672, 4144, F16, 21) (dual of [4144, 4072, 22]-code) | [i] | ||
| 3 | Linear OA(1673, 4148, F16, 21) (dual of [4148, 4075, 22]-code) | [i] | ||
| 4 | Linear OA(1662, 4123, F16, 21) (dual of [4123, 4061, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1663, 4181, F16, 21) (dual of [4181, 4118, 22]-code) | [i] | ||
| 6 | Linear OA(1664, 4341, F16, 21) (dual of [4341, 4277, 22]-code) | [i] | ||
| 7 | Linear OA(1665, 4686, F16, 21) (dual of [4686, 4621, 22]-code) | [i] | ||
| 8 | Linear OA(1666, 5253, F16, 21) (dual of [5253, 5187, 22]-code) | [i] | ||
| 9 | Linear OOA(1658, 2049, F16, 2, 21) (dual of [(2049, 2), 4040, 22]-NRT-code) | [i] | OOA Folding | |