Information on Result #716987
Linear OA(8168, 540, F8, 61) (dual of [540, 372, 62]-code), using construction XX applied to C1 = C([15,73]), C2 = C([21,75]), C3 = C1 + C2 = C([21,73]), and C∩ = C1 ∩ C2 = C([15,75]) based on
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {15,16,…,73}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,75}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {15,16,…,75}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- 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 = {21,22,…,73}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- 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), using
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), 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(8168, 270, F8, 2, 61) (dual of [(270, 2), 372, 62]-NRT-code) | [i] | OOA Folding | |