Information on Result #717064
Linear OA(8172, 536, F8, 63) (dual of [536, 364, 64]-code), using construction XX applied to C1 = C([13,72]), C2 = C([17,75]), C3 = C1 + C2 = C([17,72]), and C∩ = C1 ∩ C2 = C([13,75]) based on
- linear OA(8159, 511, F8, 60) (dual of [511, 352, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {13,14,…,72}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,75}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8166, 511, F8, 63) (dual of [511, 345, 64]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {13,14,…,75}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(8147, 511, F8, 56) (dual of [511, 364, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,72}, and designed minimum distance d ≥ |I|+1 = 57 [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(8172, 268, F8, 2, 63) (dual of [(268, 2), 364, 64]-NRT-code) | [i] | OOA Folding | |