Information on Result #715589
Linear OA(888, 542, F8, 30) (dual of [542, 454, 31]-code), using construction XX applied to C1 = C([506,21]), C2 = C([1,24]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([506,24]) based on
- linear OA(873, 511, F8, 27) (dual of [511, 438, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(863, 511, F8, 24) (dual of [511, 448, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,24}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(857, 511, F8, 21) (dual of [511, 454, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
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(888, 271, F8, 2, 30) (dual of [(271, 2), 454, 31]-NRT-code) | [i] | OOA Folding | |