Information on Result #692049
Linear OA(1652, 4099, F16, 19) (dual of [4099, 4047, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(1652, 4096, F16, 19) (dual of [4096, 4044, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1649, 4096, F16, 18) (dual of [4096, 4047, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(1663, 4132, F16, 19) (dual of [4132, 4069, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1664, 4137, F16, 19) (dual of [4137, 4073, 20]-code) | [i] | ||
| 3 | Linear OA(1665, 4144, F16, 19) (dual of [4144, 4079, 20]-code) | [i] | ||
| 4 | Linear OA(1656, 4123, F16, 19) (dual of [4123, 4067, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1657, 4179, F16, 19) (dual of [4179, 4122, 20]-code) | [i] | ||
| 6 | Linear OA(1658, 4332, F16, 19) (dual of [4332, 4274, 20]-code) | [i] | ||
| 7 | Linear OA(1659, 4671, F16, 19) (dual of [4671, 4612, 20]-code) | [i] | ||
| 8 | Linear OA(1660, 5262, F16, 19) (dual of [5262, 5202, 20]-code) | [i] | ||
| 9 | Linear OOA(1652, 2049, F16, 2, 19) (dual of [(2049, 2), 4046, 20]-NRT-code) | [i] | OOA Folding | |