Information on Result #1308875
Linear OA(4244, 4535, F4, 53) (dual of [4535, 4291, 54]-code), using 430 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 37 times 0, 1, 60 times 0, 1, 83 times 0, 1, 101 times 0, 1, 112 times 0) based on linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using
- an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [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(4244, 4535, F4, 2, 53) (dual of [(4535, 2), 8826, 54]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4244, 4535, F4, 3, 53) (dual of [(4535, 3), 13361, 54]-NRT-code) | [i] | ||
| 3 | Digital (191, 244, 4535)-net over F4 | [i] | ||
| 4 | Linear OOA(4244, 2267, F4, 2, 53) (dual of [(2267, 2), 4290, 54]-NRT-code) | [i] | OOA Folding | |