Information on Result #715107
Linear OA(846, 536, F8, 15) (dual of [536, 490, 16]-code), using construction XX applied to C1 = C([61,72]), C2 = C([65,75]), C3 = C1 + C2 = C([65,72]), and C∩ = C1 ∩ C2 = C([61,75]) based on
- linear OA(833, 511, F8, 12) (dual of [511, 478, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {61,62,…,72}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,75}, and designed minimum distance d ≥ |I|+1 = 12 [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 = {61,62,…,75}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,72}, and designed minimum distance d ≥ |I|+1 = 9 [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(846, 268, F8, 2, 15) (dual of [(268, 2), 490, 16]-NRT-code) | [i] | OOA Folding | |