Information on Result #706694
Linear OA(4125, 292, F4, 40) (dual of [292, 167, 41]-code), using construction XX applied to C1 = C([250,29]), C2 = C([0,34]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([250,34]) based on
- linear OA(4103, 255, F4, 35) (dual of [255, 152, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,29}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4113, 255, F4, 40) (dual of [255, 142, 41]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,34}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(46, 16, F4, 4) (dual of [16, 10, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code) (see above)
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(4125, 146, F4, 2, 40) (dual of [(146, 2), 167, 41]-NRT-code) | [i] | OOA Folding | |