Information on Result #827865
Linear OOA(4146, 136, F4, 2, 52) (dual of [(136, 2), 126, 53]-NRT-code), using OOA 2-folding based on linear OA(4146, 272, F4, 52) (dual of [272, 126, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(4146, 273, F4, 52) (dual of [273, 127, 53]-code), using
- construction XX applied to C1 = C([51,101]), C2 = C([57,102]), C3 = C1 + C2 = C([57,101]), and C∩ = C1 ∩ C2 = C([51,102]) [i] based on
- linear OA(4137, 255, F4, 51) (dual of [255, 118, 52]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,101}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,102}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4139, 255, F4, 52) (dual of [255, 116, 53]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,102}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4127, 255, F4, 45) (dual of [255, 128, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,101}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([51,101]), C2 = C([57,102]), C3 = C1 + C2 = C([57,101]), and C∩ = C1 ∩ C2 = C([51,102]) [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.