Information on Result #715657
Linear OA(891, 544, F8, 31) (dual of [544, 453, 32]-code), using construction XX applied to C1 = C([505,21]), C2 = C([0,24]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([505,24]) based on
- linear OA(876, 511, F8, 28) (dual of [511, 435, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,21}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 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 OA(892, 545, F8, 31) (dual of [545, 453, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(891, 272, F8, 2, 31) (dual of [(272, 2), 453, 32]-NRT-code) | [i] | OOA Folding | |