Information on Result #901881
Linear OOA(3266, 4719648, F32, 2, 10) (dual of [(4719648, 2), 9439230, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3220, 525347, F32, 2, 5) (dual of [(525347, 2), 1050674, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(323, 1057, F32, 2, 2) (dual of [(1057, 2), 2111, 3]-NRT-code), using
- appending kth column [i] based on linear OA(323, 1057, F32, 2) (dual of [1057, 1054, 3]-code), using
- Hamming code H(3,32) [i]
- appending kth column [i] based on linear OA(323, 1057, F32, 2) (dual of [1057, 1054, 3]-code), using
- linear OOA(3217, 524290, F32, 2, 5) (dual of [(524290, 2), 1048563, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(3217, 1048576, F32, 5) (dual of [1048576, 1048559, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code), using
- linear OOA(323, 1057, F32, 2, 2) (dual of [(1057, 2), 2111, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3246, 4194301, F32, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3246, 8388602, F32, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, large, F32, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(3246, large, F32, 10) (dual of [large, large−46, 11]-code), using
- OOA 2-folding [i] based on linear OA(3246, 8388602, F32, 10) (dual of [8388602, 8388556, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.