Information on Result #1314044
Linear OA(16110, 4129, F16, 38) (dual of [4129, 4019, 39]-code), using 23 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 18 times 0) based on linear OA(16107, 4103, F16, 38) (dual of [4103, 3996, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(35) [i] based on
- linear OA(16106, 4096, F16, 38) (dual of [4096, 3990, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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(16110, 4129, F16, 2, 38) (dual of [(4129, 2), 8148, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (72, 110, 4129)-net over F16 | [i] | ||
| 3 | Linear OOA(16110, 2064, F16, 2, 38) (dual of [(2064, 2), 4018, 39]-NRT-code) | [i] | OOA Folding | |