Information on Result #824713
Linear OOA(4185, 32800, F4, 2, 29) (dual of [(32800, 2), 65415, 30]-NRT-code), using OOA 2-folding 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]
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(4185, 32800, F4, 2, 28) (dual of [(32800, 2), 65415, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4187, 32801, F4, 2, 29) (dual of [(32801, 2), 65415, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4189, 32802, F4, 2, 29) (dual of [(32802, 2), 65415, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(4186, 32800, F4, 2, 29) (dual of [(32800, 2), 65414, 30]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4184, 32799, F4, 2, 28) (dual of [(32799, 2), 65414, 29]-NRT-code) | [i] | Truncation for OOAs | |