Information on Result #678920
Linear OA(471, 16385, F4, 13) (dual of [16385, 16314, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
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 OOA(471, 11088, F4, 2, 13) (dual of [(11088, 2), 22105, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(471, 11088, F4, 3, 13) (dual of [(11088, 3), 33193, 14]-NRT-code) | [i] | ||
| 3 | Digital (58, 71, 11088)-net over F4 | [i] | ||
| 4 | Linear OA(486, 16400, F4, 15) (dual of [16400, 16314, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(488, 16391, F4, 17) (dual of [16391, 16303, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(489, 16402, F4, 17) (dual of [16402, 16313, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(490, 16404, F4, 17) (dual of [16404, 16314, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(488, 16402, F4, 16) (dual of [16402, 16314, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4108, 16409, F4, 19) (dual of [16409, 16301, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(4109, 16423, F4, 19) (dual of [16423, 16314, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(486, 16401, F4, 15) (dual of [16401, 16315, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |