Information on Result #703434
Linear OA(3126, 293, F3, 35) (dual of [293, 167, 36]-code), using construction XX applied to C1 = C([91,120]), C2 = C([99,125]), C3 = C1 + C2 = C([99,120]), and C∩ = C1 ∩ C2 = C([91,125]) based on
- linear OA(390, 242, F3, 30) (dual of [242, 152, 31]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,120}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(391, 242, F3, 27) (dual of [242, 151, 28]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,125}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,125}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(375, 242, F3, 22) (dual of [242, 167, 23]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,120}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(37, 23, F3, 4) (dual of [23, 16, 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
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.