Information on Result #692386
Linear OA(16110, 4145, F16, 34) (dual of [4145, 4035, 35]-code), using construction X applied to Ce(33) ⊂ Ce(21) based on
- linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1661, 4096, F16, 22) (dual of [4096, 4035, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1616, 49, F16, 11) (dual of [49, 33, 12]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(16111, 4146, F16, 34) (dual of [4146, 4035, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16110, 2072, F16, 2, 34) (dual of [(2072, 2), 4034, 35]-NRT-code) | [i] | OOA Folding | |