Information on Result #1308270
Linear OA(4175, 4776, F4, 36) (dual of [4776, 4601, 37]-code), using 668 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 38 times 0, 1, 60 times 0, 1, 88 times 0, 1, 118 times 0, 1, 145 times 0, 1, 168 times 0) based on linear OA(4162, 4095, F4, 36) (dual of [4095, 3933, 37]-code), using
- 1 times truncation [i] based on linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(4175, 4776, F4, 2, 36) (dual of [(4776, 2), 9377, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4175, 4776, F4, 3, 36) (dual of [(4776, 3), 14153, 37]-NRT-code) | [i] | ||
| 3 | Digital (139, 175, 4776)-net over F4 | [i] | ||
| 4 | Linear OOA(4175, 2388, F4, 2, 36) (dual of [(2388, 2), 4601, 37]-NRT-code) | [i] | OOA Folding | |