Information on Result #712268
Linear OA(5134, 649, F5, 41) (dual of [649, 515, 42]-code), using construction XX applied to C1 = C([619,33]), C2 = C([0,35]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([619,35]) based on
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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.
Other Results with Identical Parameters
None.
Depending Results
None.