Information on Result #722537
Linear OA(16120, 595, F16, 45) (dual of [595, 475, 46]-code), using construction XX applied to C1 = C([583,41]), C2 = C([0,42]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([583,42]) based on
- linear OA(16116, 585, F16, 44) (dual of [585, 469, 45]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−2,−1,…,41}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(16113, 585, F16, 43) (dual of [585, 472, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(16119, 585, F16, 45) (dual of [585, 466, 46]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−2,−1,…,42}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16110, 585, F16, 42) (dual of [585, 475, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- linear OA(160, 3, F16, 0) (dual of [3, 3, 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
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(16120, 297, F16, 2, 45) (dual of [(297, 2), 474, 46]-NRT-code) | [i] | OOA Folding | |