Information on Result #711735
Linear OA(5127, 673, F5, 35) (dual of [673, 546, 36]-code), using construction XX applied to C1 = C([617,23]), C2 = C([0,27]), C3 = C1 + C2 = C([0,23]), and C∩ = C1 ∩ C2 = C([617,27]) based on
- linear OA(5101, 624, F5, 31) (dual of [624, 523, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,23}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5111, 624, F5, 35) (dual of [624, 513, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,27}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(512, 35, F5, 6) (dual of [35, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- the cyclic code C(A) with length 62 | 53−1, defining set A = {4,8,11,17}, and minimum distance d ≥ |{8,11,14,…,23}|+1 = 7 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), 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.