Information on Result #1308009
Linear OA(4135, 4207, F4, 28) (dual of [4207, 4072, 29]-code), using 103 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 9 times 0, 1, 15 times 0, 1, 25 times 0, 1, 41 times 0) based on linear OA(4126, 4095, F4, 28) (dual of [4095, 3969, 29]-code), using
- 1 times truncation [i] based on linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4135, 4207, F4, 2, 28) (dual of [(4207, 2), 8279, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4135, 4207, F4, 3, 28) (dual of [(4207, 3), 12486, 29]-NRT-code) | [i] | ||
| 3 | Digital (107, 135, 4207)-net over F4 | [i] | ||
| 4 | Linear OOA(4135, 2103, F4, 2, 28) (dual of [(2103, 2), 4071, 29]-NRT-code) | [i] | OOA Folding | |