Information on Result #829105
Linear OOA(4244, 539, F4, 2, 61) (dual of [(539, 2), 834, 62]-NRT-code), using OOA 2-folding based on linear OA(4244, 1078, F4, 61) (dual of [1078, 834, 62]-code), using
- discarding factors / shortening the dual code based on linear OA(4244, 1079, F4, 61) (dual of [1079, 835, 62]-code), using
- construction XX applied to C1 = C([293,349]), C2 = C([289,342]), C3 = C1 + C2 = C([293,342]), and C∩ = C1 ∩ C2 = C([289,349]) [i] based on
- linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,349}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,342}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,349}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,342}, and designed minimum distance d ≥ |I|+1 = 51 [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
- construction XX applied to C1 = C([293,349]), C2 = C([289,342]), C3 = C1 + C2 = C([293,342]), and C∩ = C1 ∩ C2 = C([289,349]) [i] based on
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.