Information on Result #705599
Linear OA(3220, 773, F3, 53) (dual of [773, 553, 54]-code), using construction XX applied to C1 = C([337,385]), C2 = C([333,380]), C3 = C1 + C2 = C([337,380]), and C∩ = C1 ∩ C2 = C([333,385]) based on
- linear OA(3193, 728, F3, 49) (dual of [728, 535, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,385}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3190, 728, F3, 48) (dual of [728, 538, 49]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,380}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,385}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3175, 728, F3, 44) (dual of [728, 553, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,380}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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
None.