Information on Result #692305
Linear OA(1685, 4129, F16, 27) (dual of [4129, 4044, 28]-code), using construction X applied to Ce(26) ⊂ Ce(18) based on
- linear OA(1676, 4096, F16, 27) (dual of [4096, 4020, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1652, 4096, F16, 19) (dual of [4096, 4044, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(169, 33, F16, 7) (dual of [33, 24, 8]-code), using
- extended algebraic-geometric code AGe(F,25P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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(1686, 4130, F16, 27) (dual of [4130, 4044, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1685, 2064, F16, 2, 27) (dual of [(2064, 2), 4043, 28]-NRT-code) | [i] | OOA Folding | |