Information on Result #706665
Linear OA(4127, 295, F4, 41) (dual of [295, 168, 42]-code), using construction XX applied to C1 = C([49,85]), C2 = C([56,89]), C3 = C1 + C2 = C([56,85]), and C∩ = C1 ∩ C2 = C([49,89]) based on
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,85}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(499, 255, F4, 34) (dual of [255, 156, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,89}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,85}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(410, 24, F4, 6) (dual of [24, 14, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 26, F4, 6) (dual of [26, 16, 7]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4126, 294, F4, 40) (dual of [294, 168, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(4127, 147, F4, 2, 41) (dual of [(147, 2), 167, 42]-NRT-code) | [i] | OOA Folding | |