Information on Result #703959
Linear OA(3126, 384, F3, 34) (dual of [384, 258, 35]-code), using construction XX applied to C1 = C([164,195]), C2 = C([167,197]), C3 = C1 + C2 = C([167,195]), and C∩ = C1 ∩ C2 = C([164,197]) based on
- linear OA(3118, 364, F3, 32) (dual of [364, 246, 33]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,195}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3109, 364, F3, 31) (dual of [364, 255, 32]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,197}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3121, 364, F3, 34) (dual of [364, 243, 35]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {164,165,…,197}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3106, 364, F3, 29) (dual of [364, 258, 30]-code), using the BCH-code C(I) with length 364 | 36−1, defining interval I = {167,168,…,195}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3127, 385, F3, 34) (dual of [385, 258, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3125, 383, F3, 33) (dual of [383, 258, 34]-code) | [i] | Truncation | |
| 3 | Linear OOA(3126, 192, F3, 2, 34) (dual of [(192, 2), 258, 35]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3126, 128, F3, 3, 34) (dual of [(128, 3), 258, 35]-NRT-code) | [i] | ||