Information on Result #1307784
Linear OA(4103, 4242, F4, 21) (dual of [4242, 4139, 22]-code), using 134 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 12 times 0, 1, 19 times 0, 1, 32 times 0, 1, 49 times 0) based on linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4103, 4242, F4, 2, 21) (dual of [(4242, 2), 8381, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4103, 4242, F4, 3, 21) (dual of [(4242, 3), 12623, 22]-NRT-code) | [i] | ||
| 3 | Digital (82, 103, 4242)-net over F4 | [i] | ||
| 4 | Linear OOA(4103, 2121, F4, 2, 21) (dual of [(2121, 2), 4139, 22]-NRT-code) | [i] | OOA Folding | |