Information on Result #956152
Linear OOA(3209, 259, F3, 3, 50) (dual of [(259, 3), 568, 51]-NRT-code), using OOA 3-folding based on linear OA(3209, 777, F3, 50) (dual of [777, 568, 51]-code), using
- construction XX applied to C1 = C([325,370]), C2 = C([321,365]), C3 = C1 + C2 = C([325,365]), and C∩ = C1 ∩ C2 = C([321,370]) [i] based on
- linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,370}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3178, 728, F3, 45) (dual of [728, 550, 46]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {321,322,…,365}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {321,322,…,370}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3160, 728, F3, 41) (dual of [728, 568, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,365}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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.