Information on Result #715061
Linear OA(849, 544, F8, 15) (dual of [544, 495, 16]-code), using construction XX applied to C1 = C([505,5]), C2 = C([0,8]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([505,8]) based on
- linear OA(834, 511, F8, 12) (dual of [511, 477, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,5}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(822, 511, F8, 9) (dual of [511, 489, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,8}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(816, 511, F8, 6) (dual of [511, 495, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 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(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, 272, F8, 2, 15) (dual of [(272, 2), 495, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(849, 181, F8, 3, 15) (dual of [(181, 3), 494, 16]-NRT-code) | [i] | ||