Information on Result #703739
Linear OA(3250, 277, F3, 135) (dual of [277, 27, 136]-code), using construction XX applied to C1 = C([233,120]), C2 = C([1,130]), C3 = C1 + C2 = C([1,120]), and C∩ = C1 ∩ C2 = C([233,130]) based on
- linear OA(3221, 242, F3, 130) (dual of [242, 21, 131]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,120}, and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3221, 242, F3, 130) (dual of [242, 21, 131]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(3232, 242, F3, 140) (dual of [242, 10, 141]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,130}, and designed minimum distance d ≥ |I|+1 = 141 [i]
- linear OA(3210, 242, F3, 120) (dual of [242, 32, 121]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(312, 23, F3, 8) (dual of [23, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-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.