Information on Result #692041
Linear OA(1676, 4099, F16, 27) (dual of [4099, 4023, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(1676, 4096, F16, 27) (dual of [4096, 4020, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(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(1695, 4164, F16, 27) (dual of [4164, 4069, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1696, 4166, F16, 27) (dual of [4166, 4070, 28]-code) | [i] | ||
| 3 | Linear OA(1697, 4168, F16, 27) (dual of [4168, 4071, 28]-code) | [i] | ||
| 4 | Linear OA(1680, 4137, F16, 27) (dual of [4137, 4057, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(1681, 4234, F16, 27) (dual of [4234, 4153, 28]-code) | [i] | ||
| 6 | Linear OA(1682, 4493, F16, 27) (dual of [4493, 4411, 28]-code) | [i] | ||
| 7 | Linear OA(1683, 4933, F16, 27) (dual of [4933, 4850, 28]-code) | [i] | ||
| 8 | Linear OA(1684, 5477, F16, 27) (dual of [5477, 5393, 28]-code) | [i] | ||
| 9 | Linear OOA(1676, 2049, F16, 2, 27) (dual of [(2049, 2), 4022, 28]-NRT-code) | [i] | OOA Folding | |