Information on Result #2282100
Linear OA(8142, 556, F8, 49) (dual of [556, 414, 50]-code), using 1 times code embedding in larger space based on linear OA(8141, 555, F8, 49) (dual of [555, 414, 50]-code), using
- construction XX applied to C1 = C([39,81]), C2 = C([33,75]), C3 = C1 + C2 = C([39,75]), and C∩ = C1 ∩ C2 = C([33,81]) [i] based on
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,81}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,75}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,81}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,75}, and designed minimum distance d ≥ |I|+1 = 38 [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(8142, 278, F8, 2, 49) (dual of [(278, 2), 414, 50]-NRT-code) | [i] | OOA Folding | |