Information on Result #713290
Linear OA(739, 363, F7, 13) (dual of [363, 324, 14]-code), using construction XX applied to C1 = C([339,7]), C2 = C([1,9]), C3 = C1 + C2 = C([1,7]), and C∩ = C1 ∩ C2 = C([339,9]) based on
- linear OA(728, 342, F7, 11) (dual of [342, 314, 12]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,7}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(724, 342, F7, 9) (dual of [342, 318, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(718, 342, F7, 7) (dual of [342, 324, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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(739, 181, F7, 2, 13) (dual of [(181, 2), 323, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(739, 121, F7, 3, 13) (dual of [(121, 3), 324, 14]-NRT-code) | [i] | ||