Information on Result #1130480
Linear OOA(2107, 419434, F2, 6, 11) (dual of [(419434, 6), 2516497, 12]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OA(2107, 2097171, F2, 11) (dual of [2097171, 2097064, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2107, 2097174, F2, 11) (dual of [2097174, 2097067, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(2106, 2097152, F2, 11) (dual of [2097152, 2097046, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(285, 2097152, F2, 9) (dual of [2097152, 2097067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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(10) ⊂ Ce(8) [i] based on
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.