Information on Result #692082
Linear OA(1674, 4103, F16, 26) (dual of [4103, 4029, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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(1693, 4168, F16, 26) (dual of [4168, 4075, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(1674, 2992, F16, 2, 26) (dual of [(2992, 2), 5910, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (48, 74, 2992)-net over F16 | [i] | ||
| 4 | Linear OA(1677, 4132, F16, 26) (dual of [4132, 4055, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1678, 4211, F16, 26) (dual of [4211, 4133, 27]-code) | [i] | ||
| 6 | Linear OOA(1674, 2051, F16, 2, 26) (dual of [(2051, 2), 4028, 27]-NRT-code) | [i] | OOA Folding | |