Information on Result #692027
Linear OA(16109, 4099, F16, 39) (dual of [4099, 3990, 40]-code), using construction X applied to Ce(38) ⊂ Ce(37) based on
- linear OA(16109, 4096, F16, 39) (dual of [4096, 3987, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- 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(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: Constructive and 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 OA(16113, 4140, F16, 39) (dual of [4140, 4027, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(16114, 4237, F16, 39) (dual of [4237, 4123, 40]-code) | [i] | ||
| 3 | Linear OA(16115, 4455, F16, 39) (dual of [4455, 4340, 40]-code) | [i] | ||
| 4 | Linear OA(16116, 4769, F16, 39) (dual of [4769, 4653, 40]-code) | [i] | ||
| 5 | Linear OOA(16109, 2049, F16, 2, 39) (dual of [(2049, 2), 3989, 40]-NRT-code) | [i] | OOA Folding | |