Information on Result #1723140
Digital (58, 77, 793)-net over F5, using net defined by OOA based on linear OOA(577, 793, F5, 21, 19) (dual of [(793, 21), 16576, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(577, 2380, F5, 3, 19) (dual of [(2380, 3), 7063, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(577, 2380, F5, 19) (dual of [2380, 2303, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(577, 3136, F5, 19) (dual of [3136, 3059, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(577, 3136, F5, 19) (dual of [3136, 3059, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(577, 2380, F5, 19) (dual of [2380, 2303, 20]-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.