Information on Result #727298
Linear OA(2798, 728, F27, 51) (dual of [728, 630, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27100, 732, F27, 52) (dual of [732, 632, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(27103, 735, F27, 53) (dual of [735, 632, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(27106, 738, F27, 54) (dual of [738, 632, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(27102, 732, F27, 53) (dual of [732, 630, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(27105, 735, F27, 54) (dual of [735, 630, 55]-code) | [i] | ✔ | |