Information on Result #706566
Linear OA(4121, 286, F4, 39) (dual of [286, 165, 40]-code), using construction XX applied to C1 = C([48,85]), C2 = C([57,86]), C3 = C1 + C2 = C([57,85]), and C∩ = C1 ∩ C2 = C([48,86]) based on
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,85}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,86}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,86}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,85}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(412, 27, F4, 8) (dual of [27, 15, 9]-code), using
- 3 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]
- 3 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.