Information on Result #692697
Linear OA(16117, 265, F16, 68) (dual of [265, 148, 69]-code), using construction X applied to Ce(67) ⊂ Ce(61) based on
- linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(16108, 256, F16, 62) (dual of [256, 148, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(165, 9, F16, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), 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 OA(16116, 264, F16, 67) (dual of [264, 148, 68]-code) | [i] | Truncation | |
| 2 | Linear OA(16115, 263, F16, 66) (dual of [263, 148, 67]-code) | [i] | ||
| 3 | Linear OA(16114, 262, F16, 65) (dual of [262, 148, 66]-code) | [i] | ||
| 4 | Linear OOA(16117, 132, F16, 2, 68) (dual of [(132, 2), 147, 69]-NRT-code) | [i] | OOA Folding | |