Information on Result #715070
Linear OA(844, 537, F8, 14) (dual of [537, 493, 15]-code), using construction XX applied to C1 = C([4,13]), C2 = C([0,9]), C3 = C1 + C2 = C([4,9]), and C∩ = C1 ∩ C2 = C([0,13]) based on
- linear OA(830, 511, F8, 10) (dual of [511, 481, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {4,5,…,13}, and designed minimum distance d ≥ |I|+1 = 11 [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 expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(818, 511, F8, 6) (dual of [511, 493, 7]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {4,5,…,9}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
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(844, 179, F8, 3, 14) (dual of [(179, 3), 493, 15]-NRT-code) | [i] | OOA Folding | |