Information on Result #711270
Linear OA(589, 665, F5, 24) (dual of [665, 576, 25]-code), using construction XX applied to C1 = C([619,15]), C2 = C([1,18]), C3 = C1 + C2 = C([1,15]), and C∩ = C1 ∩ C2 = C([619,18]) based on
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(560, 624, F5, 18) (dual of [624, 564, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 = {−5,−4,…,18}, 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, 26, F5, 5) (dual of [26, 17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 26 | 54−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(53, 15, F5, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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.