Information on Result #1117174
Linear OOA(397, 318871, F3, 5, 11) (dual of [(318871, 5), 1594258, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 4, F3, 5, 5) (dual of [(4, 5), 15, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;15,3) [i]
- linear OOA(392, 318867, F3, 5, 11) (dual of [(318867, 5), 1594243, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(392, 1594335, F3, 11) (dual of [1594335, 1594243, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(392, 1594336, F3, 11) (dual of [1594336, 1594244, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(392, 1594323, F3, 11) (dual of [1594323, 1594231, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(392, 1594336, F3, 11) (dual of [1594336, 1594244, 12]-code), using
- OOA 5-folding [i] based on linear OA(392, 1594335, F3, 11) (dual of [1594335, 1594243, 12]-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.