Information on Result #857215
Linear OOA(1673, 2049, F16, 2, 26) (dual of [(2049, 2), 4025, 27]-NRT-code), using OOA 2-folding based on linear OA(1673, 4098, F16, 26) (dual of [4098, 4025, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(1673, 4099, F16, 26) (dual of [4099, 4026, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] 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(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(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(25) ⊂ Ce(24) [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(1687, 2073, F16, 2, 26) (dual of [(2073, 2), 4059, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1688, 2082, F16, 2, 26) (dual of [(2082, 2), 4076, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(1689, 2087, F16, 2, 26) (dual of [(2087, 2), 4085, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(1690, 2094, F16, 2, 26) (dual of [(2094, 2), 4098, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(1691, 2098, F16, 2, 26) (dual of [(2098, 2), 4105, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(1692, 2114, F16, 2, 26) (dual of [(2114, 2), 4136, 27]-NRT-code) | [i] | ||