Information on Result #809532
Linear OOA(2236, 289, F2, 2, 50) (dual of [(289, 2), 342, 51]-NRT-code), using OOA 2-folding based on linear OA(2236, 578, F2, 50) (dual of [578, 342, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(2236, 579, F2, 50) (dual of [579, 343, 51]-code), using
- construction X applied to C([1,50]) ⊂ C([1,38]) [i] based on
- linear OA(2207, 511, F2, 50) (dual of [511, 304, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2162, 511, F2, 38) (dual of [511, 349, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(229, 68, F2, 11) (dual of [68, 39, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(228, 64, F2, 11) (dual of [64, 36, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(225, 64, F2, 9) (dual of [64, 39, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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
- construction X applied to C([1,50]) ⊂ C([1,38]) [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.