Information on Result #1314103
Linear OA(16121, 4640, F16, 41) (dual of [4640, 4519, 42]-code), using 535 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 18 times 0, 1, 64 times 0, 1, 170 times 0, 1, 275 times 0) based on linear OA(16115, 4099, F16, 41) (dual of [4099, 3984, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(39) [i] based on
- linear OA(16115, 4096, F16, 41) (dual of [4096, 3981, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(16112, 4096, F16, 40) (dual of [4096, 3984, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(16121, 4640, F16, 2, 41) (dual of [(4640, 2), 9159, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (80, 121, 4640)-net over F16 | [i] | ||
| 3 | Linear OOA(16121, 2320, F16, 2, 41) (dual of [(2320, 2), 4519, 42]-NRT-code) | [i] | OOA Folding | |