Information on Result #716894
Linear OA(8142, 517, F8, 54) (dual of [517, 375, 55]-code), using construction XX applied to C1 = C([510,51]), C2 = C([0,52]), C3 = C1 + C2 = C([0,51]), and C∩ = C1 ∩ C2 = C([510,52]) based on
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,52}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8136, 511, F8, 52) (dual of [511, 375, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code) (see above)
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(8142, 258, F8, 2, 54) (dual of [(258, 2), 374, 55]-NRT-code) | [i] | OOA Folding | |