Information on Result #612793
Linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(4114, 65546, F4, 18) (dual of [65546, 65432, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4116, 65551, F4, 18) (dual of [65551, 65435, 19]-code) | [i] | ||
| 3 | Linear OA(4113, 65544, F4, 19) (dual of [65544, 65431, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(4105, 65544, F4, 18) (dual of [65544, 65439, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(4122, 65553, F4, 20) (dual of [65553, 65431, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(4124, 65555, F4, 21) (dual of [65555, 65431, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4108, 65555, F4, 18) (dual of [65555, 65447, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(4134, 65565, F4, 22) (dual of [65565, 65431, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(4110, 65565, F4, 18) (dual of [65565, 65455, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(4144, 65575, F4, 23) (dual of [65575, 65431, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(4158, 65589, F4, 25) (dual of [65589, 65431, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4155, 65586, F4, 24) (dual of [65586, 65431, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(4169, 65600, F4, 26) (dual of [65600, 65431, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4180, 65605, F4, 27) (dual of [65605, 65425, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4157, 65582, F4, 25) (dual of [65582, 65425, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(4154, 65585, F4, 24) (dual of [65585, 65431, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(4167, 65598, F4, 26) (dual of [65598, 65431, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(4180, 65611, F4, 27) (dual of [65611, 65431, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4143, 65567, F4, 23) (dual of [65567, 65424, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(4133, 65557, F4, 22) (dual of [65557, 65424, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(4135, 65567, F4, 22) (dual of [65567, 65432, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(4123, 65547, F4, 21) (dual of [65547, 65424, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(4125, 65557, F4, 21) (dual of [65557, 65432, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(4123, 65555, F4, 20) (dual of [65555, 65432, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(4107, 65547, F4, 18) (dual of [65547, 65440, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(4109, 65557, F4, 18) (dual of [65557, 65448, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(4111, 65567, F4, 18) (dual of [65567, 65456, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(4130, 65562, F4, 20) (dual of [65562, 65432, 21]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |