Information on Result #716845
Linear OA(8151, 536, F8, 55) (dual of [536, 385, 56]-code), using construction XX applied to C1 = C([21,72]), C2 = C([25,75]), C3 = C1 + C2 = C([25,72]), and C∩ = C1 ∩ C2 = C([21,75]) based on
- linear OA(8138, 511, F8, 52) (dual of [511, 373, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,72}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8133, 511, F8, 51) (dual of [511, 378, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,75}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,75}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8126, 511, F8, 48) (dual of [511, 385, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,72}, and designed minimum distance d ≥ |I|+1 = 49 [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(8151, 268, F8, 2, 55) (dual of [(268, 2), 385, 56]-NRT-code) | [i] | OOA Folding | |