Information on Result #714102
Linear OA(7105, 360, F7, 39) (dual of [360, 255, 40]-code), using construction XX applied to C1 = C([339,33]), C2 = C([1,35]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([339,35]) based on
- linear OA(797, 342, F7, 37) (dual of [342, 245, 38]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(790, 342, F7, 35) (dual of [342, 252, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(7100, 342, F7, 39) (dual of [342, 242, 40]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(787, 342, F7, 33) (dual of [342, 255, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), 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(7105, 120, F7, 3, 39) (dual of [(120, 3), 255, 40]-NRT-code) | [i] | OOA Folding | |