Information on Result #827331
Linear OOA(4141, 137, F4, 2, 48) (dual of [(137, 2), 133, 49]-NRT-code), using OOA 2-folding based on linear OA(4141, 274, F4, 48) (dual of [274, 133, 49]-code), using
- discarding factors / shortening the dual code based on linear OA(4141, 275, F4, 48) (dual of [275, 134, 49]-code), using
- construction XX applied to C1 = C([39,85]), C2 = C([43,86]), C3 = C1 + C2 = C([43,85]), and C∩ = C1 ∩ C2 = C([39,86]) [i] based on
- linear OA(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {39,40,…,85}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,86}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4137, 255, F4, 48) (dual of [255, 118, 49]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {39,40,…,86}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,85}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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([39,85]), C2 = C([43,86]), C3 = C1 + C2 = C([43,85]), and C∩ = C1 ∩ C2 = C([39,86]) [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.