Information on Result #1495980
Linear OOA(12828, 16321, F128, 3, 11) (dual of [(16321, 3), 48935, 12]-NRT-code), using OOA 2-folding based on linear OOA(12828, 32642, F128, 2, 11) (dual of [(32642, 2), 65256, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12828, 32643, F128, 2, 11) (dual of [(32643, 2), 65258, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12828, 32643, F128, 11) (dual of [32643, 32615, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- linear OA(12821, 16386, F128, 11) (dual of [16386, 16365, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(12821, 16384, F128, 11) (dual of [16384, 16363, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12828, 32643, F128, 11) (dual of [32643, 32615, 12]-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.