Information on Result #732093
Linear OA(1659, 4149, F16, 17) (dual of [4149, 4090, 18]-code), using (u, u+v)-construction based on
- linear OA(1613, 53, F16, 8) (dual of [53, 40, 9]-code), using
- construction X applied to C([13,20]) ⊂ C([14,20]) [i] based on
- linear OA(1613, 51, F16, 8) (dual of [51, 38, 9]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {13,14,…,20}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {14,15,…,20}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 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 C([13,20]) ⊂ C([14,20]) [i] based on
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
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(1658, 4148, F16, 16) (dual of [4148, 4090, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(1659, 2074, F16, 2, 17) (dual of [(2074, 2), 4089, 18]-NRT-code) | [i] | OOA Folding | |