Information on Result #618512
Linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(756, 235298, F7, 10) (dual of [235298, 235242, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(4933, 117699, F49, 10) (dual of [117699, 117666, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4934, 117702, F49, 10) (dual of [117702, 117668, 11]-code) | [i] | ||
| 4 | Linear OA(4935, 120002, F49, 10) (dual of [120002, 119967, 11]-code) | [i] | ||
| 5 | Linear OA(4936, 117658, F49, 10) (dual of [117658, 117622, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(4935, 117657, F49, 10) (dual of [117657, 117622, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(4936, 117749, F49, 10) (dual of [117749, 117713, 11]-code) | [i] | ||
| 8 | Linear OA(4931, 117652, F49, 11) (dual of [117652, 117621, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(4935, 117656, F49, 12) (dual of [117656, 117621, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(4929, 117656, F49, 10) (dual of [117656, 117627, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(4939, 117660, F49, 13) (dual of [117660, 117621, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(4930, 117660, F49, 10) (dual of [117660, 117630, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(4931, 117664, F49, 10) (dual of [117664, 117633, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(4947, 117668, F49, 15) (dual of [117668, 117621, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(4932, 117668, F49, 10) (dual of [117668, 117636, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(4951, 117672, F49, 16) (dual of [117672, 117621, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(4955, 117676, F49, 17) (dual of [117676, 117621, 18]-code) | [i] | ✔ | |