Information on Result #612720
Linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(488, 65544, F4, 14) (dual of [65544, 65456, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(489, 65546, F4, 14) (dual of [65546, 65457, 15]-code) | [i] | ||
| 3 | Linear OA(490, 65553, F4, 14) (dual of [65553, 65463, 15]-code) | [i] | ||
| 4 | Linear OA(490, 65546, F4, 14) (dual of [65546, 65456, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(489, 65544, F4, 15) (dual of [65544, 65455, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(498, 65553, F4, 16) (dual of [65553, 65455, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(4100, 65555, F4, 17) (dual of [65555, 65455, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(484, 65555, F4, 14) (dual of [65555, 65471, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(4110, 65565, F4, 18) (dual of [65565, 65455, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(486, 65565, F4, 14) (dual of [65565, 65479, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(4120, 65575, F4, 19) (dual of [65575, 65455, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(488, 65575, F4, 14) (dual of [65575, 65487, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(4134, 65589, F4, 21) (dual of [65589, 65455, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(4131, 65586, F4, 20) (dual of [65586, 65455, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(4133, 65582, F4, 21) (dual of [65582, 65449, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(4130, 65585, F4, 20) (dual of [65585, 65455, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(4143, 65598, F4, 22) (dual of [65598, 65455, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(4119, 65567, F4, 19) (dual of [65567, 65448, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(4109, 65557, F4, 18) (dual of [65557, 65448, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(4111, 65567, F4, 18) (dual of [65567, 65456, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(499, 65547, F4, 17) (dual of [65547, 65448, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(4101, 65557, F4, 17) (dual of [65557, 65456, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(483, 65547, F4, 14) (dual of [65547, 65464, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(485, 65557, F4, 14) (dual of [65557, 65472, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(487, 65567, F4, 14) (dual of [65567, 65480, 15]-code) | [i] | ✔ | |
| 27 | Linear OA(498, 65554, F4, 16) (dual of [65554, 65456, 17]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |