Information on Result #715205
Linear OA(863, 547, F8, 20) (dual of [547, 484, 21]-code), using construction XX applied to C1 = C([57,72]), C2 = C([63,76]), C3 = C1 + C2 = C([63,72]), and C∩ = C1 ∩ C2 = C([57,76]) based on
- linear OA(842, 511, F8, 16) (dual of [511, 469, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,72}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,76}, and designed minimum distance d ≥ |I|+1 = 15 [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 = {57,58,…,76}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(827, 511, F8, 10) (dual of [511, 484, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,72}, and designed minimum distance d ≥ |I|+1 = 11 [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(863, 273, F8, 2, 20) (dual of [(273, 2), 483, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(863, 182, F8, 3, 20) (dual of [(182, 3), 483, 21]-NRT-code) | [i] | ||