Information on Result #712384
Linear OA(5150, 653, F5, 45) (dual of [653, 503, 46]-code), using construction XX applied to C1 = C([120,162]), C2 = C([118,157]), C3 = C1 + C2 = C([120,157]), and C∩ = C1 ∩ C2 = C([118,162]) based on
- linear OA(5135, 624, F5, 43) (dual of [624, 489, 44]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {120,121,…,162}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5127, 624, F5, 40) (dual of [624, 497, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {118,119,…,157}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5143, 624, F5, 45) (dual of [624, 481, 46]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {118,119,…,162}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {120,121,…,157}, and designed minimum distance d ≥ |I|+1 = 39 [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, 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.