Information on Result #2667573
Linear OOA(2142, 693, F2, 3, 24) (dual of [(693, 3), 1937, 25]-NRT-code), using 21 times duplication based on linear OOA(2141, 693, F2, 3, 24) (dual of [(693, 3), 1938, 25]-NRT-code), using
- strength reduction [i] based on linear OOA(2141, 693, F2, 3, 25) (dual of [(693, 3), 1938, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2141, 2079, F2, 25) (dual of [2079, 1938, 26]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2139, 2077, F2, 25) (dual of [2077, 1938, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2133, 2049, F2, 25) (dual of [2049, 1916, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2111, 2049, F2, 21) (dual of [2049, 1938, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2139, 2077, F2, 25) (dual of [2077, 1938, 26]-code), using
- OOA 3-folding [i] based on linear OA(2141, 2079, F2, 25) (dual of [2079, 1938, 26]-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.