Information on Result #712751
Linear OA(748, 177, F7, 19) (dual of [177, 129, 20]-code), using construction XX applied to C1 = C([16,33]), C2 = C([15,32]), C3 = C1 + C2 = C([16,32]), and C∩ = C1 ∩ C2 = C([15,33]) based on
- linear OA(745, 171, F7, 18) (dual of [171, 126, 19]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {16,17,…,33}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(745, 171, F7, 18) (dual of [171, 126, 19]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {15,16,…,32}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(748, 171, F7, 19) (dual of [171, 123, 20]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {15,16,…,33}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(742, 171, F7, 17) (dual of [171, 129, 18]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {16,17,…,32}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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(748, 88, F7, 2, 19) (dual of [(88, 2), 128, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(748, 59, F7, 3, 19) (dual of [(59, 3), 129, 20]-NRT-code) | [i] | ||