Information on Result #716525
Linear OA(8138, 538, F8, 50) (dual of [538, 400, 51]-code), using construction XX applied to C1 = C([25,72]), C2 = C([31,74]), C3 = C1 + C2 = C([31,72]), and C∩ = C1 ∩ C2 = C([25,74]) based on
- linear OA(8126, 511, F8, 48) (dual of [511, 385, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,72}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,74}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,74}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8111, 511, F8, 42) (dual of [511, 400, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,72}, and designed minimum distance d ≥ |I|+1 = 43 [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, 5, F8, 1) (dual of [5, 4, 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(8138, 269, F8, 2, 50) (dual of [(269, 2), 400, 51]-NRT-code) | [i] | OOA Folding | |