Information on Result #612706
Linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(454, 4095, F4, 12) (dual of [4095, 4041, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(461, 4103, F4, 13) (dual of [4103, 4042, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(462, 4105, F4, 13) (dual of [4105, 4043, 14]-code) | [i] | ||
| 4 | Linear OA(461, 4123, F4, 13) (dual of [4123, 4062, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(462, 4144, F4, 13) (dual of [4144, 4082, 14]-code) | [i] | ||
| 6 | Linear OA(461, 4102, F4, 14) (dual of [4102, 4041, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(456, 4103, F4, 13) (dual of [4103, 4047, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(468, 4109, F4, 15) (dual of [4109, 4041, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(456, 4109, F4, 12) (dual of [4109, 4053, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(458, 4111, F4, 13) (dual of [4111, 4053, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(478, 4119, F4, 17) (dual of [4119, 4041, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(476, 4117, F4, 16) (dual of [4117, 4041, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(459, 4113, F4, 13) (dual of [4113, 4054, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(460, 4119, F4, 13) (dual of [4119, 4059, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(458, 4117, F4, 12) (dual of [4117, 4059, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(486, 4127, F4, 18) (dual of [4127, 4041, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(495, 4136, F4, 19) (dual of [4136, 4041, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(494, 4132, F4, 19) (dual of [4132, 4038, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(493, 4129, F4, 19) (dual of [4129, 4036, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(485, 4121, F4, 18) (dual of [4121, 4036, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(488, 4130, F4, 18) (dual of [4130, 4042, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(475, 4111, F4, 16) (dual of [4111, 4036, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(482, 4126, F4, 17) (dual of [4126, 4044, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(481, 4124, F4, 17) (dual of [4124, 4043, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(480, 4122, F4, 17) (dual of [4122, 4042, 18]-code) | [i] | ✔ | |
| 26 | Linear OA(471, 4114, F4, 15) (dual of [4114, 4043, 16]-code) | [i] | ✔ | |
| 27 | Linear OA(470, 4112, F4, 15) (dual of [4112, 4042, 16]-code) | [i] | ✔ | |
| 28 | Linear OA(463, 4105, F4, 14) (dual of [4105, 4042, 15]-code) | [i] | ✔ | |
| 29 | Linear OA(457, 4105, F4, 13) (dual of [4105, 4048, 14]-code) | [i] | ✔ | |
| 30 | Linear OA(462, 4122, F4, 13) (dual of [4122, 4060, 14]-code) | [i] | ✔ | |
| 31 | Linear OA(456, 4110, F4, 12) (dual of [4110, 4054, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(474, 4116, F4, 15) (dual of [4116, 4042, 16]-code) | [i] | ✔ | |
| 33 | Linear OOA(455, 2048, F4, 2, 13) (dual of [(2048, 2), 4041, 14]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(455, 1365, F4, 3, 13) (dual of [(1365, 3), 4040, 14]-NRT-code) | [i] | ||