Information on Result #1786439
Digital (63, 81, 3880)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(581, 3880, F5, 18) (dual of [3880, 3799, 19]-code), using
- 740 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 5 times 0, 1, 13 times 0, 1, 30 times 0, 1, 64 times 0, 1, 123 times 0, 1, 205 times 0, 1, 290 times 0) [i] based on linear OA(571, 3130, F5, 18) (dual of [3130, 3059, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
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.