Information on Result #2281669
Linear OA(898, 542, F8, 34) (dual of [542, 444, 35]-code), using 1 times code embedding in larger space based on linear OA(897, 541, F8, 34) (dual of [541, 444, 35]-code), using
- construction XX applied to C1 = C([51,81]), C2 = C([48,75]), C3 = C1 + C2 = C([51,75]), and C∩ = C1 ∩ C2 = C([48,81]) [i] based on
- 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 = {51,52,…,81}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,75}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,81}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(867, 511, F8, 25) (dual of [511, 444, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {51,52,…,75}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 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(898, 271, F8, 2, 34) (dual of [(271, 2), 444, 35]-NRT-code) | [i] | OOA Folding | |