Information on Result #692667
Linear OA(1644, 258, F16, 24) (dual of [258, 214, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(1644, 256, F16, 24) (dual of [256, 212, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1642, 256, F16, 23) (dual of [256, 214, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-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(1644, 129, F16, 2, 24) (dual of [(129, 2), 214, 25]-NRT-code) | [i] | OOA Folding | |