Information on Result #965881
Linear OOA(4229, 357, F4, 3, 58) (dual of [(357, 3), 842, 59]-NRT-code), using OOA 3-folding based on linear OA(4229, 1071, F4, 58) (dual of [1071, 842, 59]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4228, 1070, F4, 58) (dual of [1070, 842, 59]-code), using
- construction XX applied to C1 = C([1018,48]), C2 = C([0,52]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([1018,52]) [i] based on
- 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(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,52}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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([1018,48]), C2 = C([0,52]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([1018,52]) [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.