Information on Result #679572
Linear OA(4205, 4102, F4, 46) (dual of [4102, 3897, 47]-code), using construction X applied to Ce(45) ⊂ Ce(44) based on
- linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(4206, 4103, F4, 46) (dual of [4103, 3897, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4209, 4114, F4, 46) (dual of [4114, 3905, 47]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4210, 4126, F4, 46) (dual of [4126, 3916, 47]-code) | [i] | ||
| 4 | Linear OA(4211, 4148, F4, 46) (dual of [4148, 3937, 47]-code) | [i] | ||
| 5 | Linear OA(4212, 4187, F4, 46) (dual of [4187, 3975, 47]-code) | [i] | ||
| 6 | Linear OA(4213, 4250, F4, 46) (dual of [4250, 4037, 47]-code) | [i] | ||
| 7 | Linear OA(4214, 4341, F4, 46) (dual of [4341, 4127, 47]-code) | [i] | ||
| 8 | Linear OA(4215, 4456, F4, 46) (dual of [4456, 4241, 47]-code) | [i] | ||
| 9 | Linear OA(4216, 4586, F4, 46) (dual of [4586, 4370, 47]-code) | [i] | ||
| 10 | Linear OA(4217, 4726, F4, 46) (dual of [4726, 4509, 47]-code) | [i] | ||
| 11 | Linear OOA(4205, 2051, F4, 2, 46) (dual of [(2051, 2), 3897, 47]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4205, 1367, F4, 3, 46) (dual of [(1367, 3), 3896, 47]-NRT-code) | [i] | ||