Information on Result #2915326
Linear OOA(2241, 690, F2, 6, 38) (dual of [(690, 6), 3899, 39]-NRT-code), using strength reduction based on linear OOA(2241, 690, F2, 6, 39) (dual of [(690, 6), 3899, 40]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2241, 4140, F2, 39) (dual of [4140, 3899, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2241, 4141, F2, 39) (dual of [4141, 3900, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2193, 4096, F2, 33) (dual of [4096, 3903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(212, 45, F2, 5) (dual of [45, 33, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(2241, 4141, F2, 39) (dual of [4141, 3900, 40]-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.