Information on Result #2281361
Linear OA(879, 556, F8, 25) (dual of [556, 477, 26]-code), using 1 times code embedding in larger space based on linear OA(878, 555, F8, 25) (dual of [555, 477, 26]-code), using
- construction XX applied to C1 = C([63,81]), C2 = C([57,75]), C3 = C1 + C2 = C([63,75]), and C∩ = C1 ∩ C2 = C([57,81]) [i] based on
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,81}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,75}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,81}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,75}, and designed minimum distance d ≥ |I|+1 = 14 [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(87, 22, F8, 5) (dual of [22, 15, 6]-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(879, 278, F8, 2, 25) (dual of [(278, 2), 477, 26]-NRT-code) | [i] | OOA Folding | |