Information on Result #715160
Linear OA(852, 532, F8, 18) (dual of [532, 480, 19]-code), using construction XX applied to C1 = C([57,73]), C2 = C([62,74]), C3 = C1 + C2 = C([62,73]), and C∩ = C1 ∩ C2 = C([57,74]) based on
- linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,73}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {62,63,…,74}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,74}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {62,63,…,73}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(86, 18, F8, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 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
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(852, 266, F8, 2, 18) (dual of [(266, 2), 480, 19]-NRT-code) | [i] | OOA Folding | |