Information on Result #708961
Linear OA(4204, 1063, F4, 51) (dual of [1063, 859, 52]-code), using construction XX applied to C1 = C([1017,42]), C2 = C([1,44]), C3 = C1 + C2 = C([1,42]), and C∩ = C1 ∩ C2 = C([1017,44]) based on
- linear OA(4186, 1023, F4, 49) (dual of [1023, 837, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,42}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,44}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4160, 1023, F4, 42) (dual of [1023, 863, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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.