Information on Result #2286796
Linear OA(16123, 4146, F16, 38) (dual of [4146, 4023, 39]-code), using 1 times code embedding in larger space based on linear OA(16122, 4145, F16, 38) (dual of [4145, 4023, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(25) [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(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OOA(16123, 2073, F16, 2, 38) (dual of [(2073, 2), 4023, 39]-NRT-code) | [i] | OOA Folding | |