Information on Result #711236
Linear OA(587, 658, F5, 24) (dual of [658, 571, 25]-code), using construction XX applied to C1 = C([618,15]), C2 = C([1,17]), C3 = C1 + C2 = C([1,15]), and C∩ = C1 ∩ C2 = C([618,17]) based on
- linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,15}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(556, 624, F5, 17) (dual of [624, 568, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,17}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(548, 624, F5, 15) (dual of [624, 576, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.