Information on Result #706573
Linear OA(4116, 291, F4, 37) (dual of [291, 175, 38]-code), using construction XX applied to C1 = C([68,101]), C2 = C([65,94]), C3 = C1 + C2 = C([68,94]), and C∩ = C1 ∩ C2 = C([65,101]) based on
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,101}, and designed minimum distance d ≥ |I|+1 = 35 [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 = {65,66,…,94}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4103, 255, F4, 37) (dual of [255, 152, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {65,66,…,101}, and designed minimum distance d ≥ |I|+1 = 38 [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 = {68,69,…,94}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(410, 25, F4, 6) (dual of [25, 15, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 26, F4, 6) (dual of [26, 16, 7]-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.