Information on Result #734403
Linear OA(3244, 32868, F32, 12) (dual of [32868, 32824, 13]-code), using (u, u+v)-construction based on
- linear OA(3210, 97, F32, 6) (dual of [97, 87, 7]-code), using
- construction XX applied to C1 = C([92,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([92,4]) [i] based on
- linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3210, 93, F32, 6) (dual of [93, 83, 7]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(326, 93, F32, 4) (dual of [93, 87, 5]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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([92,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([92,4]) [i] based on
- linear OA(3234, 32771, F32, 12) (dual of [32771, 32737, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3234, 32768, F32, 12) (dual of [32768, 32734, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3231, 32768, F32, 11) (dual of [32768, 32737, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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 (see above)
- construction X applied to Ce(11) ⊂ Ce(10) [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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3244, 16434, F32, 2, 12) (dual of [(16434, 2), 32824, 13]-NRT-code) | [i] | OOA Folding | |