Information on Result #828188
Linear OOA(4216, 537, F4, 2, 54) (dual of [(537, 2), 858, 55]-NRT-code), using OOA 2-folding based on linear OA(4216, 1074, F4, 54) (dual of [1074, 858, 55]-code), using
- construction XX applied to C1 = C([1018,44]), C2 = C([1,48]), C3 = C1 + C2 = C([1,44]), and C∩ = C1 ∩ C2 = C([1018,48]) [i] based on
- 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 = {−5,−4,…,44}, and designed minimum distance d ≥ |I|+1 = 51 [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(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 = {−5,−4,…,48}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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.