Information on Result #869570
Linear OOA(3285, 524341, F32, 2, 18) (dual of [(524341, 2), 1048597, 19]-NRT-code), using OOA 2-folding based on linear OA(3285, 1048682, F32, 18) (dual of [1048682, 1048597, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3215, 97, F32, 9) (dual of [97, 82, 10]-code), using
- construction XX applied to C1 = C([92,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([92,7]) [i] based on
- linear OA(3213, 93, F32, 8) (dual of [93, 80, 9]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3213, 93, F32, 8) (dual of [93, 80, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3215, 93, F32, 9) (dual of [93, 78, 10]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3211, 93, F32, 7) (dual of [93, 82, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([92,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([92,7]) [i] based on
- linear OA(3270, 1048585, F32, 18) (dual of [1048585, 1048515, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(3269, 1048576, F32, 18) (dual of [1048576, 1048507, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3261, 1048576, F32, 16) (dual of [1048576, 1048515, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(3215, 97, F32, 9) (dual of [97, 82, 10]-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.