Information on Result #729754
Linear OA(6433, 202, F64, 19) (dual of [202, 169, 20]-code), using construction XX applied to C1 = C([25,42]), C2 = C([24,40]), C3 = C1 + C2 = C([25,40]), and C∩ = C1 ∩ C2 = C([24,42]) based on
- linear OA(6430, 195, F64, 18) (dual of [195, 165, 19]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {25,26,…,42}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6428, 195, F64, 17) (dual of [195, 167, 18]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {24,25,…,40}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6432, 195, F64, 19) (dual of [195, 163, 20]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {24,25,…,42}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6426, 195, F64, 16) (dual of [195, 169, 17]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {25,26,…,40}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- Reed–Solomon code RS(63,64) [i]
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 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(6433, 101, F64, 2, 19) (dual of [(101, 2), 169, 20]-NRT-code) | [i] | OOA Folding | |