Information on Result #721694
Linear OA(1660, 259, F16, 32) (dual of [259, 199, 33]-code), using construction XX applied to C1 = C([254,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([254,30]) based on
- linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(1660, 255, F16, 32) (dual of [255, 195, 33]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1656, 255, F16, 30) (dual of [255, 199, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-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(1660, 129, F16, 2, 32) (dual of [(129, 2), 198, 33]-NRT-code) | [i] | OOA Folding | |