Information on Result #707153
Linear OA(4198, 264, F4, 95) (dual of [264, 66, 96]-code), using construction XX applied to C1 = C([77,170]), C2 = C([80,171]), C3 = C1 + C2 = C([80,170]), and C∩ = C1 ∩ C2 = C([77,171]) based on
- linear OA(4192, 255, F4, 94) (dual of [255, 63, 95]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,170}, and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(4192, 255, F4, 92) (dual of [255, 63, 93]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {80,81,…,171}, and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(4196, 255, F4, 95) (dual of [255, 59, 96]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,171}, and designed minimum distance d ≥ |I|+1 = 96 [i]
- linear OA(4188, 255, F4, 91) (dual of [255, 67, 92]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {80,81,…,170}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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 OOA(4198, 132, F4, 2, 95) (dual of [(132, 2), 66, 96]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4198, 88, F4, 3, 95) (dual of [(88, 3), 66, 96]-NRT-code) | [i] | ||