Information on Result #1313986
Linear OA(16105, 4756, F16, 35) (dual of [4756, 4651, 36]-code), using 649 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 12 times 0, 1, 38 times 0, 1, 94 times 0, 1, 191 times 0, 1, 305 times 0) based on linear OA(1697, 4099, F16, 35) (dual of [4099, 4002, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(1697, 4096, F16, 35) (dual of [4096, 3999, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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(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(16105, 4756, F16, 2, 35) (dual of [(4756, 2), 9407, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (70, 105, 4756)-net over F16 | [i] | ||
| 3 | Linear OOA(16105, 2378, F16, 2, 35) (dual of [(2378, 2), 4651, 36]-NRT-code) | [i] | OOA Folding | |