Information on Result #692236
Linear OA(1679, 4120, F16, 26) (dual of [4120, 4041, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
- 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(1655, 4096, F16, 20) (dual of [4096, 4041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(1680, 4121, F16, 26) (dual of [4121, 4041, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1679, 2060, F16, 2, 26) (dual of [(2060, 2), 4041, 27]-NRT-code) | [i] | OOA Folding | |