Information on Result #716786
Linear OA(8159, 549, F8, 56) (dual of [549, 390, 57]-code), using construction XX applied to C1 = C([505,45]), C2 = C([0,49]), C3 = C1 + C2 = C([0,45]), and C∩ = C1 ∩ C2 = C([505,49]) based on
- linear OA(8139, 511, F8, 52) (dual of [511, 372, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,45}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8148, 511, F8, 56) (dual of [511, 363, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,49}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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(8159, 274, F8, 2, 56) (dual of [(274, 2), 389, 57]-NRT-code) | [i] | OOA Folding | |