Information on Result #679584
Linear OA(4151, 4102, F4, 34) (dual of [4102, 3951, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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 OA(4152, 4103, F4, 34) (dual of [4103, 3951, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4158, 4128, F4, 34) (dual of [4128, 3970, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4159, 4143, F4, 34) (dual of [4143, 3984, 35]-code) | [i] | ||
| 4 | Linear OA(4160, 4165, F4, 34) (dual of [4165, 4005, 35]-code) | [i] | ||
| 5 | Linear OA(4161, 4200, F4, 34) (dual of [4200, 4039, 35]-code) | [i] | ||
| 6 | Linear OA(4162, 4252, F4, 34) (dual of [4252, 4090, 35]-code) | [i] | ||
| 7 | Linear OA(4163, 4327, F4, 34) (dual of [4327, 4164, 35]-code) | [i] | ||
| 8 | Linear OA(4164, 4430, F4, 34) (dual of [4430, 4266, 35]-code) | [i] | ||
| 9 | Linear OA(4165, 4565, F4, 34) (dual of [4565, 4400, 35]-code) | [i] | ||
| 10 | Linear OA(4166, 4728, F4, 34) (dual of [4728, 4562, 35]-code) | [i] | ||
| 11 | Linear OA(4167, 4914, F4, 34) (dual of [4914, 4747, 35]-code) | [i] | ||
| 12 | Linear OA(4168, 5117, F4, 34) (dual of [5117, 4949, 35]-code) | [i] | ||
| 13 | Linear OOA(4151, 2051, F4, 2, 34) (dual of [(2051, 2), 3951, 35]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(4151, 1367, F4, 3, 34) (dual of [(1367, 3), 3950, 35]-NRT-code) | [i] | ||