Information on Result #729580
Linear OA(4929, 304, F49, 16) (dual of [304, 275, 17]-code), using construction XX applied to C1 = C([18,32]), C2 = C([17,31]), C3 = C1 + C2 = C([18,31]), and C∩ = C1 ∩ C2 = C([17,32]) based on
- linear OA(4927, 300, F49, 15) (dual of [300, 273, 16]-code), using the BCH-code C(I) with length 300 | 492−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4927, 300, F49, 15) (dual of [300, 273, 16]-code), using the BCH-code C(I) with length 300 | 492−1, defining interval I = {17,18,…,31}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4929, 300, F49, 16) (dual of [300, 271, 17]-code), using the BCH-code C(I) with length 300 | 492−1, defining interval I = {17,18,…,32}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4925, 300, F49, 14) (dual of [300, 275, 15]-code), using the BCH-code C(I) with length 300 | 492−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
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(4929, 152, F49, 2, 16) (dual of [(152, 2), 275, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4929, 101, F49, 3, 16) (dual of [(101, 3), 274, 17]-NRT-code) | [i] | ||