Information on Result #709711
Linear OA(528, 38, F5, 17) (dual of [38, 10, 18]-code), using construction XX applied to C1 = C([19,7]), C2 = C([0,11]), C3 = C1 + C2 = C([0,7]), and C∩ = C1 ∩ C2 = C([19,11]) based on
- linear OA(518, 24, F5, 13) (dual of [24, 6, 14]-code), using the primitive BCH-code C(I) with length 24 = 52−1, defining interval I = {−5,−4,…,7}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(516, 24, F5, 12) (dual of [24, 8, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(520, 24, F5, 17) (dual of [24, 4, 18]-code), using the primitive BCH-code C(I) with length 24 = 52−1, defining interval I = {−5,−4,…,11}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(512, 24, F5, 8) (dual of [24, 12, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(55, 9, F5, 4) (dual of [9, 4, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.