Information on Result #2281733
Linear OA(8106, 548, F8, 36) (dual of [548, 442, 37]-code), using 1 times code embedding in larger space based on linear OA(8105, 547, F8, 36) (dual of [547, 442, 37]-code), using
- construction XX applied to C1 = C([41,72]), C2 = C([47,76]), C3 = C1 + C2 = C([47,72]), and C∩ = C1 ∩ C2 = C([41,76]) [i] based on
- linear OA(884, 511, F8, 32) (dual of [511, 427, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,72}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,76}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,76}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(869, 511, F8, 26) (dual of [511, 442, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,72}, and designed minimum distance d ≥ |I|+1 = 27 [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(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), using
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(8106, 274, F8, 2, 36) (dual of [(274, 2), 442, 37]-NRT-code) | [i] | OOA Folding | |