Information on Result #704450
Linear OA(3124, 782, F3, 27) (dual of [782, 658, 28]-code), using construction XX applied to C1 = C([342,363]), C2 = C([348,368]), C3 = C1 + C2 = C([348,363]), and C∩ = C1 ∩ C2 = C([342,368]) based on
- linear OA(390, 728, F3, 22) (dual of [728, 638, 23]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,363}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(385, 728, F3, 21) (dual of [728, 643, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,368}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3109, 728, F3, 27) (dual of [728, 619, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,368}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(366, 728, F3, 16) (dual of [728, 662, 17]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,363}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] 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]
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.