Information on Result #1485290
Linear OOA(5147, 903173, F5, 3, 19) (dual of [(903173, 3), 2709372, 20]-NRT-code), using OOA 2-folding based on linear OOA(5147, 1806346, F5, 2, 19) (dual of [(1806346, 2), 3612545, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5147, 1806347, F5, 2, 19) (dual of [(1806347, 2), 3612547, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 1806347, F5, 19) (dual of [1806347, 1806200, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5147, 1953139, F5, 19) (dual of [1953139, 1952992, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(511, 14, F5, 9) (dual of [14, 3, 10]-code), using
- 2 times truncation [i] based on linear OA(513, 16, F5, 11) (dual of [16, 3, 12]-code), using
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(511, 14, F5, 9) (dual of [14, 3, 10]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(5147, 1953139, F5, 19) (dual of [1953139, 1952992, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 1806347, F5, 19) (dual of [1806347, 1806200, 20]-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.