Information on Result #715525
Linear OA(884, 547, F8, 28) (dual of [547, 463, 29]-code), using construction XX applied to C1 = C([49,72]), C2 = C([55,76]), C3 = C1 + C2 = C([55,72]), and C∩ = C1 ∩ C2 = C([49,76]) based on
- linear OA(863, 511, F8, 24) (dual of [511, 448, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,72}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,76}, and designed minimum distance d ≥ |I|+1 = 23 [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 = {49,50,…,76}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(848, 511, F8, 18) (dual of [511, 463, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,72}, and designed minimum distance d ≥ |I|+1 = 19 [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 OA(885, 548, F8, 28) (dual of [548, 463, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(884, 273, F8, 2, 28) (dual of [(273, 2), 462, 29]-NRT-code) | [i] | OOA Folding | |