Information on Result #692830
Linear OA(16119, 273, F16, 67) (dual of [273, 154, 68]-code), using construction X applied to Ce(67) ⊂ Ce(58) 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(16102, 256, F16, 59) (dual of [256, 154, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(16118, 272, F16, 66) (dual of [272, 154, 67]-code) | [i] | Truncation | |
| 2 | Linear OA(16117, 271, F16, 65) (dual of [271, 154, 66]-code) | [i] | ||
| 3 | Linear OOA(16119, 136, F16, 2, 67) (dual of [(136, 2), 153, 68]-NRT-code) | [i] | OOA Folding | |