Information on Result #706417
Linear OA(4101, 292, F4, 31) (dual of [292, 191, 32]-code), using construction XX applied to C1 = C([250,21]), C2 = C([0,25]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([250,25]) based on
- linear OA(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,25}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 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(4101, 146, F4, 2, 31) (dual of [(146, 2), 191, 32]-NRT-code) | [i] | OOA Folding | |