Information on Result #612568
Linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(422, 46, F4, 11) (dual of [46, 24, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(448, 1041, F4, 11) (dual of [1041, 993, 12]-code) | [i] | ||
| 3 | Linear OA(464, 16401, F4, 11) (dual of [16401, 16337, 12]-code) | [i] | ||
| 4 | Linear OA(472, 65553, F4, 11) (dual of [65553, 65481, 12]-code) | [i] | ||
| 5 | Linear OA(480, 262161, F4, 11) (dual of [262161, 262081, 12]-code) | [i] | ||
| 6 | Linear OA(488, 1048593, F4, 11) (dual of [1048593, 1048505, 12]-code) | [i] | ||
| 7 | Linear OA(496, 4194321, F4, 11) (dual of [4194321, 4194225, 12]-code) | [i] | ||
| 8 | Linear OA(424, 49, F4, 11) (dual of [49, 25, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(4104, 272, F4, 35) (dual of [272, 168, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(4128, 273, F4, 43) (dual of [273, 145, 44]-code) | [i] | ||
| 11 | Linear OA(4120, 273, F4, 41) (dual of [273, 153, 42]-code) | [i] | ||
| 12 | Linear OA(488, 273, F4, 27) (dual of [273, 185, 28]-code) | [i] | ||
| 13 | Linear OA(480, 273, F4, 25) (dual of [273, 193, 26]-code) | [i] | ||
| 14 | Linear OA(464, 273, F4, 19) (dual of [273, 209, 20]-code) | [i] | ||
| 15 | Linear OA(456, 273, F4, 17) (dual of [273, 217, 18]-code) | [i] | ||
| 16 | Linear OA(451, 78, F4, 26) (dual of [78, 27, 27]-code) | [i] | ||
| 17 | Linear OA(482, 287, F4, 25) (dual of [287, 205, 26]-code) | [i] | Construction XX with Cyclic Codes | |
| 18 | Linear OA(494, 287, F4, 29) (dual of [287, 193, 30]-code) | [i] | ||
| 19 | Linear OA(4104, 283, F4, 33) (dual of [283, 179, 34]-code) | [i] | ||
| 20 | Linear OA(4109, 277, F4, 36) (dual of [277, 168, 37]-code) | [i] | ||
| 21 | Linear OA(4108, 275, F4, 36) (dual of [275, 167, 37]-code) | [i] | ||
| 22 | Linear OA(4113, 277, F4, 38) (dual of [277, 164, 39]-code) | [i] | ||
| 23 | Linear OA(4112, 275, F4, 38) (dual of [275, 163, 39]-code) | [i] | ||
| 24 | Linear OA(4117, 280, F4, 39) (dual of [280, 163, 40]-code) | [i] | ||
| 25 | Linear OA(4124, 287, F4, 41) (dual of [287, 163, 42]-code) | [i] | ||
| 26 | Linear OA(4136, 287, F4, 45) (dual of [287, 151, 46]-code) | [i] | ||
| 27 | Linear OA(4146, 273, F4, 52) (dual of [273, 127, 53]-code) | [i] | ||
| 28 | Linear OA(4106, 275, F4, 35) (dual of [275, 169, 36]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 29 | Linear OA(4144, 272, F4, 51) (dual of [272, 128, 52]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(4108, 272, F4, 37) (dual of [272, 164, 38]-code) | [i] | ||
| 31 | Linear OA(48, 19, F4, 5) (dual of [19, 11, 6]-code) | [i] | ✔ | |