Information on Result #692043
Linear OA(1670, 4099, F16, 25) (dual of [4099, 4029, 26]-code), using construction X applied to Ce(24) ⊂ Ce(23) based on
- linear OA(1670, 4096, F16, 25) (dual of [4096, 4026, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1667, 4096, F16, 24) (dual of [4096, 4029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(1687, 4148, F16, 25) (dual of [4148, 4061, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1688, 4164, F16, 25) (dual of [4164, 4076, 26]-code) | [i] | ||
| 3 | Linear OA(1689, 4166, F16, 25) (dual of [4166, 4077, 26]-code) | [i] | ||
| 4 | Linear OA(1674, 4124, F16, 25) (dual of [4124, 4050, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1675, 4190, F16, 25) (dual of [4190, 4115, 26]-code) | [i] | ||
| 6 | Linear OA(1676, 4392, F16, 25) (dual of [4392, 4316, 26]-code) | [i] | ||
| 7 | Linear OA(1677, 4805, F16, 25) (dual of [4805, 4728, 26]-code) | [i] | ||
| 8 | Linear OA(1678, 5369, F16, 25) (dual of [5369, 5291, 26]-code) | [i] | ||
| 9 | Linear OOA(1670, 2049, F16, 2, 25) (dual of [(2049, 2), 4028, 26]-NRT-code) | [i] | OOA Folding | |