Information on Result #1313680
Linear OA(1648, 4137, F16, 16) (dual of [4137, 4089, 17]-code), using 39 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 31 times 0) 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]
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(1648, 4137, F16, 2, 16) (dual of [(4137, 2), 8226, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (32, 48, 4137)-net over F16 | [i] | ||
| 3 | Linear OOA(1648, 2068, F16, 2, 16) (dual of [(2068, 2), 4088, 17]-NRT-code) | [i] | OOA Folding | |