Information on Result #706504
Linear OA(4112, 285, F4, 36) (dual of [285, 173, 37]-code), using construction XX applied to C1 = C([51,85]), C2 = C([59,86]), C3 = C1 + C2 = C([59,85]), and C∩ = C1 ∩ C2 = C([51,86]) based on
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(483, 255, F4, 28) (dual of [255, 172, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {59,60,…,86}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,86}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {59,60,…,85}, and designed minimum distance d ≥ |I|+1 = 28 [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(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.