Information on Result #1310471
Linear OA(570, 4738, F5, 15) (dual of [4738, 4668, 16]-code), using 1604 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 9 times 0, 1, 23 times 0, 1, 52 times 0, 1, 107 times 0, 1, 195 times 0, 1, 305 times 0, 1, 409 times 0, 1, 493 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(570, 4738, F5, 2, 15) (dual of [(4738, 2), 9406, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(570, 4738, F5, 3, 15) (dual of [(4738, 3), 14144, 16]-NRT-code) | [i] | ||
| 3 | Digital (55, 70, 4738)-net over F5 | [i] | ||
| 4 | Linear OOA(570, 2369, F5, 2, 15) (dual of [(2369, 2), 4668, 16]-NRT-code) | [i] | OOA Folding | |