Information on Result #693035
Linear OA(1633, 90, F16, 19) (dual of [90, 57, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
- linear OA(1632, 86, F16, 19) (dual of [86, 54, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1629, 86, F16, 17) (dual of [86, 57, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(1633, 45, F16, 2, 19) (dual of [(45, 2), 57, 20]-NRT-code) | [i] | OOA Folding | |