Information on Result #715172
Linear OA(849, 532, F8, 17) (dual of [532, 483, 18]-code), using construction XX applied to C1 = C([68,81]), C2 = C([65,77]), C3 = C1 + C2 = C([68,77]), and C∩ = C1 ∩ C2 = C([65,81]) based on
- 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 = {68,69,…,81}, and designed minimum distance d ≥ |I|+1 = 15 [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 = {65,66,…,77}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,81}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(828, 511, F8, 10) (dual of [511, 483, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,77}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), using
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
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(849, 266, F8, 2, 17) (dual of [(266, 2), 483, 18]-NRT-code) | [i] | OOA Folding | |