Information on Result #722550
Linear OA(16122, 591, F16, 46) (dual of [591, 469, 47]-code), using construction XX applied to C1 = C([584,43]), C2 = C([0,44]), C3 = C1 + C2 = C([0,43]), and C∩ = C1 ∩ C2 = C([584,44]) based on
- 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 = {−1,0,…,43}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16119, 585, F16, 45) (dual of [585, 466, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16122, 585, F16, 46) (dual of [585, 463, 47]-code), using the BCH-code C(I) with length 585 | 163−1, defining interval I = {−1,0,…,44}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(16116, 585, F16, 44) (dual of [585, 469, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- 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
- linear OA(160, 3, F16, 0) (dual of [3, 3, 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(16122, 295, F16, 2, 46) (dual of [(295, 2), 468, 47]-NRT-code) | [i] | OOA Folding | |