Information on Result #2994950
Linear OOA(2107, 1025, F2, 8, 16) (dual of [(1025, 8), 8093, 17]-NRT-code), using 1 step truncation based on linear OOA(2108, 1026, F2, 8, 17) (dual of [(1026, 8), 8100, 18]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2108, 8208, F2, 17) (dual of [8208, 8100, 18]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2106, 8206, F2, 17) (dual of [8206, 8100, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(2105, 8192, F2, 17) (dual of [8192, 8087, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2106, 8206, F2, 17) (dual of [8206, 8100, 18]-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.