Information on Result #2281397
Linear OA(877, 542, F8, 26) (dual of [542, 465, 27]-code), using 1 times code embedding in larger space based on linear OA(876, 541, F8, 26) (dual of [541, 465, 27]-code), using
- construction XX applied to C1 = C([59,81]), C2 = C([56,75]), C3 = C1 + C2 = C([59,75]), and C∩ = C1 ∩ C2 = C([56,81]) [i] based on
- linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,81}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,75}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,81}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(846, 511, F8, 17) (dual of [511, 465, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,75}, and designed minimum distance d ≥ |I|+1 = 18 [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(877, 271, F8, 2, 26) (dual of [(271, 2), 465, 27]-NRT-code) | [i] | OOA Folding | |