Information on Result #706730
Linear OA(4133, 290, F4, 43) (dual of [290, 157, 44]-code), using construction XX applied to C1 = C([49,89]), C2 = C([57,91]), C3 = C1 + C2 = C([57,89]), and C∩ = C1 ∩ C2 = C([49,91]) based on
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4103, 255, F4, 35) (dual of [255, 152, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,91}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,91}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,89}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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.