Information on Result #706515
Linear OA(4110, 294, F4, 34) (dual of [294, 184, 35]-code), using construction XX applied to C1 = C([250,24]), C2 = C([0,28]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([250,28]) based on
- 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 = {−5,−4,…,24}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [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 = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OOA(4110, 147, F4, 2, 34) (dual of [(147, 2), 184, 35]-NRT-code) | [i] | OOA Folding | |