Information on Result #716313
Linear OA(8135, 556, F8, 46) (dual of [556, 421, 47]-code), using construction XX applied to C1 = C([506,34]), C2 = C([1,40]), C3 = C1 + C2 = C([1,34]), and C∩ = C1 ∩ C2 = C([506,40]) based on
- linear OA(8106, 511, F8, 40) (dual of [511, 405, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,34}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(8105, 511, F8, 40) (dual of [511, 406, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(890, 511, F8, 34) (dual of [511, 421, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 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(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(8136, 557, F8, 46) (dual of [557, 421, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8135, 278, F8, 2, 46) (dual of [(278, 2), 421, 47]-NRT-code) | [i] | OOA Folding | |