Information on Result #1313699
Linear OA(1654, 5339, F16, 17) (dual of [5339, 5285, 18]-code), using 1235 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 15 times 0, 1, 55 times 0, 1, 156 times 0, 1, 355 times 0, 1, 645 times 0) 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: 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(1654, 5339, F16, 2, 17) (dual of [(5339, 2), 10624, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (37, 54, 5339)-net over F16 | [i] | ||
| 3 | Linear OOA(1654, 2669, F16, 2, 17) (dual of [(2669, 2), 5284, 18]-NRT-code) | [i] | OOA Folding | |