Information on Result #692467
Linear OA(16129, 590, F16, 49) (dual of [590, 461, 50]-code), using construction X applied to Ce(48) ⊂ Ce(46) based on
- linear OA(16128, 586, F16, 49) (dual of [586, 458, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(16125, 586, F16, 47) (dual of [586, 461, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(16129, 295, F16, 2, 49) (dual of [(295, 2), 461, 50]-NRT-code) | [i] | OOA Folding | |