Information on Result #2973903
Linear OOA(2227, 43698, F2, 7, 24) (dual of [(43698, 7), 305659, 25]-NRT-code), using 23 times duplication based on linear OOA(2224, 43698, F2, 7, 24) (dual of [(43698, 7), 305662, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2224, 43698, F2, 6, 24) (dual of [(43698, 6), 261964, 25]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2224, 262188, F2, 24) (dual of [262188, 261964, 25]-code), using
- strength reduction [i] based on linear OA(2224, 262188, F2, 25) (dual of [262188, 261964, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2217, 262145, F2, 25) (dual of [262145, 261928, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2181, 262145, F2, 21) (dual of [262145, 261964, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(27, 43, F2, 3) (dual of [43, 36, 4]-code or 43-cap in PG(6,2)), using
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 4 [i]
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- strength reduction [i] based on linear OA(2224, 262188, F2, 25) (dual of [262188, 261964, 26]-code), using
- OOA 6-folding [i] based on linear OA(2224, 262188, F2, 24) (dual of [262188, 261964, 25]-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.