Information on Result #962851
Linear OOA(4186, 21867, F4, 3, 29) (dual of [(21867, 3), 65415, 30]-NRT-code), using OOA 3-folding based on linear OA(4186, 65601, F4, 29) (dual of [65601, 65415, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4185, 65600, F4, 29) (dual of [65600, 65415, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
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 OOA(4186, 21867, F4, 3, 28) (dual of [(21867, 3), 65415, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4189, 21868, F4, 3, 29) (dual of [(21868, 3), 65415, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4187, 21867, F4, 3, 29) (dual of [(21867, 3), 65414, 30]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4188, 21867, F4, 3, 29) (dual of [(21867, 3), 65413, 30]-NRT-code) | [i] | ||