Information on Result #706530
Linear OA(4117, 293, F4, 37) (dual of [293, 176, 38]-code), using construction XX applied to C1 = C([67,101]), C2 = C([65,93]), C3 = C1 + C2 = C([67,93]), and C∩ = C1 ∩ C2 = C([65,101]) based on
- linear OA(499, 255, F4, 35) (dual of [255, 156, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,101}, 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(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 = {67,68,…,93}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(413, 33, F4, 7) (dual of [33, 20, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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.