Information on Result #856814
Linear OOA(1658, 2049, F16, 2, 21) (dual of [(2049, 2), 4040, 22]-NRT-code), using OOA 2-folding based on linear OA(1658, 4098, F16, 21) (dual of [4098, 4040, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1658, 4099, F16, 21) (dual of [4099, 4041, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(1658, 4096, F16, 21) (dual of [4096, 4038, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1655, 4096, F16, 20) (dual of [4096, 4041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [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(1668, 2066, F16, 2, 21) (dual of [(2066, 2), 4064, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1669, 2073, F16, 2, 21) (dual of [(2073, 2), 4077, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(1670, 2082, F16, 2, 21) (dual of [(2082, 2), 4094, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(1671, 2087, F16, 2, 21) (dual of [(2087, 2), 4103, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(1672, 2094, F16, 2, 21) (dual of [(2094, 2), 4116, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(1673, 2098, F16, 2, 21) (dual of [(2098, 2), 4123, 22]-NRT-code) | [i] | ||