Information on Result #2266654
Linear OA(3129, 290, F3, 37) (dual of [290, 161, 38]-code), using 2 times code embedding in larger space based on linear OA(3127, 288, F3, 37) (dual of [288, 161, 38]-code), using
- construction XX applied to C1 = C([236,24]), C2 = C([0,30]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([236,30]) [i] based on
- linear OA(3101, 242, F3, 31) (dual of [242, 141, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−6,−5,…,30}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(381, 242, F3, 25) (dual of [242, 161, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(38, 18, F3, 5) (dual of [18, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), 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.