Information on Result #703181
Linear OA(363, 269, F3, 17) (dual of [269, 206, 18]-code), using construction XX applied to C1 = C([106,121]), C2 = C([111,122]), C3 = C1 + C2 = C([111,121]), and C∩ = C1 ∩ C2 = C([106,122]) based on
- linear OA(351, 242, F3, 16) (dual of [242, 191, 17]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {106,107,…,121}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(341, 242, F3, 12) (dual of [242, 201, 13]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {111,112,…,122}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(356, 242, F3, 17) (dual of [242, 186, 18]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {106,107,…,122}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(336, 242, F3, 11) (dual of [242, 206, 12]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {111,112,…,121}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(37, 22, F3, 4) (dual of [22, 15, 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(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.