Information on Result #1313619
Linear OA(1633, 4116, F16, 11) (dual of [4116, 4083, 12]-code), using 15 step Varšamov–Edel lengthening with (ri) = (2, 14 times 0) based on linear OA(1631, 4099, F16, 11) (dual of [4099, 4068, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(1631, 4096, F16, 11) (dual of [4096, 4065, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1628, 4096, F16, 10) (dual of [4096, 4068, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(1633, 4116, F16, 2, 11) (dual of [(4116, 2), 8199, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 33, 4116)-net over F16 | [i] | ||
| 3 | Linear OOA(1633, 2058, F16, 2, 11) (dual of [(2058, 2), 4083, 12]-NRT-code) | [i] | OOA Folding | |