Information on Result #692045
Linear OA(1664, 4099, F16, 23) (dual of [4099, 4035, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1661, 4096, F16, 22) (dual of [4096, 4035, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(1679, 4144, F16, 23) (dual of [4144, 4065, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1680, 4148, F16, 23) (dual of [4148, 4068, 24]-code) | [i] | ||
| 3 | Linear OA(1681, 4164, F16, 23) (dual of [4164, 4083, 24]-code) | [i] | ||
| 4 | Linear OA(1668, 4123, F16, 23) (dual of [4123, 4055, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1669, 4185, F16, 23) (dual of [4185, 4116, 24]-code) | [i] | ||
| 6 | Linear OA(1670, 4361, F16, 23) (dual of [4361, 4291, 24]-code) | [i] | ||
| 7 | Linear OA(1671, 4731, F16, 23) (dual of [4731, 4660, 24]-code) | [i] | ||
| 8 | Linear OA(1672, 5293, F16, 23) (dual of [5293, 5221, 24]-code) | [i] | ||
| 9 | Linear OOA(1664, 2049, F16, 2, 23) (dual of [(2049, 2), 4034, 24]-NRT-code) | [i] | OOA Folding | |