Information on Result #719657
Linear OA(984, 766, F9, 27) (dual of [766, 682, 28]-code), using construction XX applied to C1 = C([722,16]), C2 = C([0,20]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([722,20]) based on
- linear OA(964, 728, F9, 23) (dual of [728, 664, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,20}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), 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(984, 383, F9, 2, 27) (dual of [(383, 2), 682, 28]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(984, 255, F9, 3, 27) (dual of [(255, 3), 681, 28]-NRT-code) | [i] |