Information on Result #1722720
Digital (61, 77, 3134)-net over F5, using net defined by OOA based on linear OOA(577, 3134, F5, 21, 16) (dual of [(3134, 21), 65737, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(577, 9403, F5, 3, 16) (dual of [(9403, 3), 28132, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(577, 9405, F5, 3, 16) (dual of [(9405, 3), 28138, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(577, 9405, F5, 16) (dual of [9405, 9328, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(577, 15647, F5, 16) (dual of [15647, 15570, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- 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(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(577, 15647, F5, 16) (dual of [15647, 15570, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(577, 9405, F5, 16) (dual of [9405, 9328, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(577, 9405, F5, 3, 16) (dual of [(9405, 3), 28138, 17]-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.