Information on Result #1313967
Linear OA(1699, 4150, F16, 34) (dual of [4150, 4051, 35]-code), using 46 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 11 times 0, 1, 30 times 0) based on linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 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
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(1699, 4137, F16, 2, 34) (dual of [(4137, 2), 8175, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (65, 99, 4137)-net over F16 | [i] | ||
| 3 | Linear OOA(1699, 2075, F16, 2, 34) (dual of [(2075, 2), 4051, 35]-NRT-code) | [i] | OOA Folding | |