Information on Result #2286941
Linear OA(16121, 604, F16, 44) (dual of [604, 483, 45]-code), using 1 times code embedding in larger space based on linear OA(16120, 603, F16, 44) (dual of [603, 483, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(38) [i] based on
- linear OA(16116, 586, F16, 44) (dual of [586, 470, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(16103, 586, F16, 39) (dual of [586, 483, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
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(16121, 302, F16, 2, 44) (dual of [(302, 2), 483, 45]-NRT-code) | [i] | OOA Folding | |