Information on Result #706742
Linear OA(4135, 296, F4, 43) (dual of [296, 161, 44]-code), using construction XX applied to C1 = C([69,109]), C2 = C([67,101]), C3 = C1 + C2 = C([69,101]), and C∩ = C1 ∩ C2 = C([67,109]) based on
- linear OA(4115, 255, F4, 41) (dual of [255, 140, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,109}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- 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(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,109}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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.