Information on Result #1722862
Digital (62, 79, 2604)-net over F5, using net defined by OOA based on linear OOA(579, 2604, F5, 21, 17) (dual of [(2604, 21), 54605, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(579, 7813, F5, 3, 17) (dual of [(7813, 3), 23360, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(579, 7815, F5, 3, 17) (dual of [(7815, 3), 23366, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(579, 7815, F5, 2, 17) (dual of [(7815, 2), 15551, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(579, 15630, F5, 17) (dual of [15630, 15551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(50, 6, F5, 0) (dual of [6, 6, 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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code), using
- OOA 2-folding [i] based on linear OA(579, 15630, F5, 17) (dual of [15630, 15551, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(579, 7815, F5, 2, 17) (dual of [(7815, 2), 15551, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(579, 7815, F5, 3, 17) (dual of [(7815, 3), 23366, 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.