Information on Result #709722
Linear OA(510, 130, F5, 4) (dual of [130, 120, 5]-code), using construction XX applied to C1 = C([123,1]), C2 = C([0,2]), C3 = C1 + C2 = C([0,1]), and C∩ = C1 ∩ C2 = C([123,2]) based on
- linear OA(57, 124, F5, 3) (dual of [124, 117, 4]-code or 124-cap in PG(6,5)), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,1}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(57, 124, F5, 3) (dual of [124, 117, 4]-code or 124-cap in PG(6,5)), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(510, 124, F5, 4) (dual of [124, 114, 5]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,1,2}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(54, 124, F5, 2) (dual of [124, 120, 3]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code) (see above)
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.