Information on Result #706531
Linear OA(4120, 293, F4, 38) (dual of [293, 173, 39]-code), using construction XX applied to C1 = C([68,102]), C2 = C([65,93]), C3 = C1 + C2 = C([68,93]), and C∩ = C1 ∩ C2 = C([65,102]) 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 = {68,69,…,102}, and designed minimum distance d ≥ |I|+1 = 36 [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 = {65,66,…,93}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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 = {65,66,…,102}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,93}, and designed minimum distance d ≥ |I|+1 = 27 [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(43, 11, F4, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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.