Information on Result #679779
Linear OA(4221, 4136, F4, 47) (dual of [4136, 3915, 48]-code), using construction X applied to Ce(46) ⊂ Ce(40) based on
- linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(410, 40, F4, 5) (dual of [40, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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(4222, 4137, F4, 47) (dual of [4137, 3915, 48]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4223, 4138, F4, 47) (dual of [4138, 3915, 48]-code) | [i] | ||
| 3 | Linear OA(4224, 4139, F4, 47) (dual of [4139, 3915, 48]-code) | [i] | ||
| 4 | Linear OA(4225, 4140, F4, 47) (dual of [4140, 3915, 48]-code) | [i] | ||
| 5 | Linear OA(4226, 4141, F4, 47) (dual of [4141, 3915, 48]-code) | [i] | ||
| 6 | Linear OOA(4221, 2068, F4, 2, 47) (dual of [(2068, 2), 3915, 48]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4221, 1378, F4, 3, 47) (dual of [(1378, 3), 3913, 48]-NRT-code) | [i] | ||