Information on Result #612719
Linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, 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(478, 16392, F4, 14) (dual of [16392, 16314, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(479, 16394, F4, 14) (dual of [16394, 16315, 15]-code) | [i] | ||
| 3 | Linear OA(480, 16401, F4, 14) (dual of [16401, 16321, 15]-code) | [i] | ||
| 4 | Linear OA(480, 16394, F4, 14) (dual of [16394, 16314, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(478, 16391, F4, 15) (dual of [16391, 16313, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(471, 16391, F4, 14) (dual of [16391, 16320, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(486, 16399, F4, 16) (dual of [16399, 16313, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(488, 16401, F4, 17) (dual of [16401, 16313, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(474, 16401, F4, 14) (dual of [16401, 16327, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(497, 16410, F4, 18) (dual of [16410, 16313, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(476, 16410, F4, 14) (dual of [16410, 16334, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(4106, 16419, F4, 19) (dual of [16419, 16313, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(478, 16419, F4, 14) (dual of [16419, 16341, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(4119, 16432, F4, 21) (dual of [16432, 16313, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(4116, 16429, F4, 20) (dual of [16429, 16313, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(4117, 16426, F4, 21) (dual of [16426, 16309, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(4118, 16430, F4, 21) (dual of [16430, 16312, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(4115, 16428, F4, 20) (dual of [16428, 16313, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(4127, 16440, F4, 22) (dual of [16440, 16313, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(4105, 16412, F4, 19) (dual of [16412, 16307, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(496, 16403, F4, 18) (dual of [16403, 16307, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(498, 16412, F4, 18) (dual of [16412, 16314, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(487, 16394, F4, 17) (dual of [16394, 16307, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(489, 16403, F4, 17) (dual of [16403, 16314, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(487, 16401, F4, 16) (dual of [16401, 16314, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(473, 16394, F4, 14) (dual of [16394, 16321, 15]-code) | [i] | ✔ | |
| 27 | Linear OA(475, 16403, F4, 14) (dual of [16403, 16328, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(477, 16412, F4, 14) (dual of [16412, 16335, 15]-code) | [i] | ✔ | |