Information on Result #693017
Linear OA(1639, 89, F16, 23) (dual of [89, 50, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) based on
- linear OA(1638, 86, F16, 23) (dual of [86, 48, 24]-code), using an extension Ce(22) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1636, 86, F16, 21) (dual of [86, 50, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(161, 3, F16, 1) (dual of [3, 2, 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(1639, 44, F16, 2, 23) (dual of [(44, 2), 49, 24]-NRT-code) | [i] | OOA Folding | |