Information on Result #679877
Linear OA(4228, 4179, F4, 45) (dual of [4179, 3951, 46]-code), using construction X applied to Ce(44) ⊂ Ce(32) based on
- 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(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(429, 83, F4, 11) (dual of [83, 54, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(429, 85, F4, 11) (dual of [85, 56, 12]-code), 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(4228, 4179, F4, 44) (dual of [4179, 3951, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(4228, 1393, F4, 3, 45) (dual of [(1393, 3), 3951, 46]-NRT-code) | [i] | OOA Folding | |