Information on Result #708636
Linear OA(4184, 1090, F4, 43) (dual of [1090, 906, 44]-code), using construction XX applied to C1 = C([304,340]), C2 = C([311,346]), C3 = C1 + C2 = C([311,340]), and C∩ = C1 ∩ C2 = C([304,346]) based on
- linear OA(4140, 1023, F4, 37) (dual of [1023, 883, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,340}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,346}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4161, 1023, F4, 43) (dual of [1023, 862, 44]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,346}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(4115, 1023, F4, 30) (dual of [1023, 908, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,340}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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.