Information on Result #856488
Linear OOA(1645, 2047, F16, 2, 16) (dual of [(2047, 2), 4049, 17]-NRT-code), using OOA 2-folding based on linear OA(1645, 4094, F16, 16) (dual of [4094, 4049, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1645, 4095, F16, 16) (dual of [4095, 4050, 17]-code), using
- 1 times truncation [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]
- 1 times truncation [i] based on linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), 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 OOA(1653, 2064, F16, 2, 16) (dual of [(2064, 2), 4075, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1654, 2071, F16, 2, 16) (dual of [(2071, 2), 4088, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(1655, 2080, F16, 2, 16) (dual of [(2080, 2), 4105, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(1656, 2085, F16, 2, 16) (dual of [(2085, 2), 4114, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(1657, 2092, F16, 2, 16) (dual of [(2092, 2), 4127, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(1658, 2096, F16, 2, 16) (dual of [(2096, 2), 4134, 17]-NRT-code) | [i] | ||