Information on Result #1314163
Linear OA(16129, 4115, F16, 45) (dual of [4115, 3986, 46]-code), using 14 step Varšamov–Edel lengthening with (ri) = (2, 13 times 0) based on linear OA(16127, 4099, F16, 45) (dual of [4099, 3972, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(43) [i] based on
- linear OA(16127, 4096, F16, 45) (dual of [4096, 3969, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(16124, 4096, F16, 44) (dual of [4096, 3972, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(16129, 4115, F16, 2, 45) (dual of [(4115, 2), 8101, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (84, 129, 4115)-net over F16 | [i] | ||
| 3 | Linear OOA(16129, 2057, F16, 2, 45) (dual of [(2057, 2), 3985, 46]-NRT-code) | [i] | OOA Folding | |