Information on Result #707102
Linear OA(4199, 279, F4, 92) (dual of [279, 80, 93]-code), using construction XX applied to C1 = C([250,84]), C2 = C([0,86]), C3 = C1 + C2 = C([0,84]), and C∩ = C1 ∩ C2 = C([250,86]) based on
- linear OA(4187, 255, F4, 90) (dual of [255, 68, 91]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,84}, and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4180, 255, F4, 87) (dual of [255, 75, 88]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,86], and designed minimum distance d ≥ |I|+1 = 88 [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 = {−5,−4,…,86}, and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(4175, 255, F4, 85) (dual of [255, 80, 86]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,84], and designed minimum distance d ≥ |I|+1 = 86 [i]
- linear OA(46, 18, F4, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(4199, 93, F4, 3, 92) (dual of [(93, 3), 80, 93]-NRT-code) | [i] | OOA Folding | |