Information on Result #612735
Linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(496, 65544, F4, 15) (dual of [65544, 65448, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(497, 65546, F4, 15) (dual of [65546, 65449, 16]-code) | [i] | ||
| 3 | Linear OA(498, 65553, F4, 15) (dual of [65553, 65455, 16]-code) | [i] | ||
| 4 | Linear OA(499, 65556, F4, 15) (dual of [65556, 65457, 16]-code) | [i] | ||
| 5 | Linear OA(498, 65545, F4, 17) (dual of [65545, 65447, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(489, 65544, F4, 15) (dual of [65544, 65455, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(4108, 65555, F4, 18) (dual of [65555, 65447, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(490, 65553, F4, 15) (dual of [65553, 65463, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(4118, 65565, F4, 19) (dual of [65565, 65447, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(494, 65565, F4, 15) (dual of [65565, 65471, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4131, 65578, F4, 21) (dual of [65578, 65447, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(4128, 65575, F4, 20) (dual of [65575, 65447, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(496, 65575, F4, 15) (dual of [65575, 65479, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(4142, 65589, F4, 22) (dual of [65589, 65447, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(499, 65586, F4, 15) (dual of [65586, 65487, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(4153, 65600, F4, 23) (dual of [65600, 65447, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(4130, 65572, F4, 21) (dual of [65572, 65442, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(4130, 65577, F4, 21) (dual of [65577, 65447, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(498, 65585, F4, 15) (dual of [65585, 65487, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(4151, 65598, F4, 23) (dual of [65598, 65447, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(4129, 65570, F4, 21) (dual of [65570, 65441, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(4128, 65568, F4, 21) (dual of [65568, 65440, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(4117, 65558, F4, 19) (dual of [65558, 65441, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(4119, 65567, F4, 19) (dual of [65567, 65448, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(4107, 65547, F4, 18) (dual of [65547, 65440, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(4109, 65557, F4, 18) (dual of [65557, 65448, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(499, 65547, F4, 17) (dual of [65547, 65448, 18]-code) | [i] | ✔ | |
| 28 | Linear OA(493, 65558, F4, 15) (dual of [65558, 65465, 16]-code) | [i] | ✔ | |
| 29 | Linear OA(495, 65567, F4, 15) (dual of [65567, 65472, 16]-code) | [i] | ✔ | |
| 30 | Linear OA(490, 65554, F4, 15) (dual of [65554, 65464, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |