Information on Result #977040
Linear OOA(769, 118, F7, 3, 26) (dual of [(118, 3), 285, 27]-NRT-code), using OOA 3-folding based on linear OA(769, 354, F7, 26) (dual of [354, 285, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(769, 356, F7, 26) (dual of [356, 287, 27]-code), using
- construction XX applied to C1 = C([340,21]), C2 = C([0,23]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([340,23]) [i] based on
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−2,−1,…,21}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−2,−1,…,23}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code) (see above)
- construction XX applied to C1 = C([340,21]), C2 = C([0,23]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([340,23]) [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.