Information on Result #618491
Linear OA(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(4926, 117699, F49, 8) (dual of [117699, 117673, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4927, 117702, F49, 8) (dual of [117702, 117675, 9]-code) | [i] | ||
| 3 | Linear OA(4928, 120001, F49, 8) (dual of [120001, 119973, 9]-code) | [i] | ||
| 4 | Linear OA(4927, 117655, F49, 8) (dual of [117655, 117628, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4928, 117749, F49, 8) (dual of [117749, 117721, 9]-code) | [i] | ||
| 6 | Linear OA(4925, 117652, F49, 9) (dual of [117652, 117627, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(4922, 117652, F49, 8) (dual of [117652, 117630, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(4929, 117656, F49, 10) (dual of [117656, 117627, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(4923, 117656, F49, 8) (dual of [117656, 117633, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(4933, 117660, F49, 11) (dual of [117660, 117627, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(4924, 117660, F49, 8) (dual of [117660, 117636, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(4937, 117664, F49, 12) (dual of [117664, 117627, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(4925, 117664, F49, 8) (dual of [117664, 117639, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(4941, 117668, F49, 13) (dual of [117668, 117627, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(4945, 117672, F49, 14) (dual of [117672, 117627, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(4949, 117676, F49, 15) (dual of [117676, 117627, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(4953, 117680, F49, 16) (dual of [117680, 117627, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(4932, 117660, F49, 10) (dual of [117660, 117628, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |