Information on Result #692673
Linear OA(1632, 259, F16, 17) (dual of [259, 227, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(1631, 256, F16, 17) (dual of [256, 225, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1629, 256, F16, 15) (dual of [256, 227, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(1632, 129, F16, 2, 17) (dual of [(129, 2), 226, 18]-NRT-code) | [i] | OOA Folding | |