Information on Result #1310466
Linear OA(565, 3219, F5, 15) (dual of [3219, 3154, 16]-code), using 90 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 9 times 0, 1, 23 times 0, 1, 52 times 0) based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
Mode: 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(565, 3219, F5, 2, 15) (dual of [(3219, 2), 6373, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(565, 3219, F5, 3, 15) (dual of [(3219, 3), 9592, 16]-NRT-code) | [i] | ||
| 3 | Digital (50, 65, 3219)-net over F5 | [i] | ||
| 4 | Linear OOA(565, 1609, F5, 2, 15) (dual of [(1609, 2), 3153, 16]-NRT-code) | [i] | OOA Folding | |