Information on Result #1692042
Linear OOA(2260, 1103, F2, 8, 39) (dual of [(1103, 8), 8564, 40]-NRT-code), using OOA 2-folding based on linear OOA(2260, 2206, F2, 4, 39) (dual of [(2206, 4), 8564, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2260, 2207, F2, 4, 39) (dual of [(2207, 4), 8568, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2260, 2207, F2, 3, 39) (dual of [(2207, 3), 6361, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2260, 2746, F2, 3, 39) (dual of [(2746, 3), 7978, 40]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2260, 8238, F2, 39) (dual of [8238, 7978, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2260, 8240, F2, 39) (dual of [8240, 7980, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2209, 8192, F2, 33) (dual of [8192, 7983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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
- construction X applied to Ce(38) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(2260, 8240, F2, 39) (dual of [8240, 7980, 40]-code), using
- OOA 3-folding [i] based on linear OA(2260, 8238, F2, 39) (dual of [8238, 7978, 40]-code), using
- discarding factors / shortening the dual code based on linear OOA(2260, 2746, F2, 3, 39) (dual of [(2746, 3), 7978, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2260, 2207, F2, 3, 39) (dual of [(2207, 3), 6361, 40]-NRT-code), using
Mode: 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.