Information on Result #716982
Linear OA(8158, 528, F8, 59) (dual of [528, 370, 60]-code), using construction XX applied to C1 = C([17,73]), C2 = C([21,75]), C3 = C1 + C2 = C([21,73]), and C∩ = C1 ∩ C2 = C([17,75]) based on
- linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,73}, and designed minimum distance d ≥ |I|+1 = 58 [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(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 = {17,18,…,75}, and designed minimum distance d ≥ |I|+1 = 60 [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(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(8158, 264, F8, 2, 59) (dual of [(264, 2), 370, 60]-NRT-code) | [i] | OOA Folding | |