Information on Result #1313936
Linear OA(1694, 4138, F16, 32) (dual of [4138, 4044, 33]-code), using 38 step Varšamov–Edel lengthening with (ri) = (2, 1, 6 times 0, 1, 29 times 0) based on linear OA(1690, 4096, F16, 32) (dual of [4096, 4006, 33]-code), using
- 1 times truncation [i] based on linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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(1694, 4138, F16, 2, 32) (dual of [(4138, 2), 8182, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (62, 94, 4138)-net over F16 | [i] | ||
| 3 | Linear OOA(1694, 2069, F16, 2, 32) (dual of [(2069, 2), 4044, 33]-NRT-code) | [i] | OOA Folding | |