Information on Result #716491
Linear OA(8130, 536, F8, 47) (dual of [536, 406, 48]-code), using construction XX applied to C1 = C([29,72]), C2 = C([33,75]), C3 = C1 + C2 = C([33,72]), and C∩ = C1 ∩ C2 = C([29,75]) based on
- linear OA(8117, 511, F8, 44) (dual of [511, 394, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,72}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,75}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {29,30,…,75}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(8105, 511, F8, 40) (dual of [511, 406, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,72}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [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(8130, 268, F8, 2, 47) (dual of [(268, 2), 406, 48]-NRT-code) | [i] | OOA Folding | |