Information on Result #857611
Linear OOA(1688, 2049, F16, 2, 31) (dual of [(2049, 2), 4010, 32]-NRT-code), using OOA 2-folding based on linear OA(1688, 4098, F16, 31) (dual of [4098, 4010, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1688, 4099, F16, 31) (dual of [4099, 4011, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(1688, 4096, F16, 31) (dual of [4096, 4008, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(1685, 4096, F16, 30) (dual of [4096, 4011, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
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 OOA(16104, 2073, F16, 2, 31) (dual of [(2073, 2), 4042, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(16105, 2082, F16, 2, 31) (dual of [(2082, 2), 4059, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(16106, 2087, F16, 2, 31) (dual of [(2087, 2), 4068, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(16107, 2094, F16, 2, 31) (dual of [(2094, 2), 4081, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(16108, 2098, F16, 2, 31) (dual of [(2098, 2), 4088, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(16109, 2114, F16, 2, 31) (dual of [(2114, 2), 4119, 32]-NRT-code) | [i] | ||