Information on Result #730120
Linear OA(8132, 333, F81, 18) (dual of [333, 301, 19]-code), using construction XX applied to C1 = C([33,49]), C2 = C([32,47]), C3 = C1 + C2 = C([33,47]), and C∩ = C1 ∩ C2 = C([32,49]) based on
- linear OA(8129, 328, F81, 17) (dual of [328, 299, 18]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {33,34,…,49}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(8129, 328, F81, 16) (dual of [328, 299, 17]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {32,33,…,47}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8131, 328, F81, 18) (dual of [328, 297, 19]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {32,33,…,49}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8127, 328, F81, 15) (dual of [328, 301, 16]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {33,34,…,47}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- Reed–Solomon code RS(80,81) [i]
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(8132, 166, F81, 2, 18) (dual of [(166, 2), 300, 19]-NRT-code) | [i] | OOA Folding | |