Information on Result #692665
Linear OA(1648, 258, F16, 26) (dual of [258, 210, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(1648, 256, F16, 26) (dual of [256, 208, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1646, 256, F16, 25) (dual of [256, 210, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(1648, 129, F16, 2, 26) (dual of [(129, 2), 210, 27]-NRT-code) | [i] | OOA Folding | |