Information on Result #715074
Linear OA(843, 535, F8, 14) (dual of [535, 492, 15]-code), using construction XX applied to C1 = C([507,6]), C2 = C([0,9]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([507,9]) based on
- linear OA(831, 511, F8, 11) (dual of [511, 480, 12]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,6}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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 = {−4,−3,…,9}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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(843, 267, F8, 2, 14) (dual of [(267, 2), 491, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(843, 178, F8, 3, 14) (dual of [(178, 3), 491, 15]-NRT-code) | [i] | ||