Information on Result #709303
Linear OA(4239, 1079, F4, 59) (dual of [1079, 840, 60]-code), using construction XX applied to C1 = C([1017,48]), C2 = C([1,52]), C3 = C1 + C2 = C([1,48]), and C∩ = C1 ∩ C2 = C([1017,52]) based on
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4195, 1023, F4, 52) (dual of [1023, 828, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,52}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(4180, 1023, F4, 48) (dual of [1023, 843, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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.