Information on Result #706316
Linear OA(481, 278, F4, 26) (dual of [278, 197, 27]-code), using construction XX applied to C1 = C([251,20]), C2 = C([1,21]), C3 = C1 + C2 = C([1,20]), and C∩ = C1 ∩ C2 = C([251,21]) based on
- linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(462, 255, F4, 21) (dual of [255, 193, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(458, 255, F4, 20) (dual of [255, 197, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(46, 19, F4, 4) (dual of [19, 13, 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(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(481, 139, F4, 2, 26) (dual of [(139, 2), 197, 27]-NRT-code) | [i] | OOA Folding | |