Information on Result #1722946
Digital (111, 128, 443126)-net over F5, using net defined by OOA based on linear OOA(5128, 443126, F5, 21, 17) (dual of [(443126, 21), 9305518, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5128, 1329379, F5, 3, 17) (dual of [(1329379, 3), 3988009, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5128, 1329381, F5, 3, 17) (dual of [(1329381, 3), 3988015, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5128, 1329381, F5, 17) (dual of [1329381, 1329253, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5128, 1953138, F5, 17) (dual of [1953138, 1953010, 18]-code), using
- (u, u+v)-construction [i] based on
- linear OA(510, 13, F5, 8) (dual of [13, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 15, F5, 8) (dual of [15, 5, 9]-code), using
- linear OA(5118, 1953125, F5, 17) (dual of [1953125, 1953007, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(510, 13, F5, 8) (dual of [13, 3, 9]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(5128, 1953138, F5, 17) (dual of [1953138, 1953010, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5128, 1329381, F5, 17) (dual of [1329381, 1329253, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(5128, 1329381, F5, 3, 17) (dual of [(1329381, 3), 3988015, 18]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.