Information on Result #1723176
Digital (76, 95, 4377)-net over F5, using net defined by OOA based on linear OOA(595, 4377, F5, 21, 19) (dual of [(4377, 21), 91822, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(595, 13132, F5, 3, 19) (dual of [(13132, 3), 39301, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(595, 13134, F5, 3, 19) (dual of [(13134, 3), 39307, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(595, 13134, F5, 19) (dual of [13134, 13039, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(595, 15647, F5, 19) (dual of [15647, 15552, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(594, 15646, F5, 19) (dual of [15646, 15552, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(53, 21, F5, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(594, 15646, F5, 19) (dual of [15646, 15552, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(595, 15647, F5, 19) (dual of [15647, 15552, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(595, 13134, F5, 19) (dual of [13134, 13039, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(595, 13134, F5, 3, 19) (dual of [(13134, 3), 39307, 20]-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.