Information on Result #1723648
Digital (124, 146, 60630)-net over F5, using net defined by OOA based on linear OOA(5146, 60630, F5, 27, 22) (dual of [(60630, 27), 1636864, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5146, 242521, F5, 3, 22) (dual of [(242521, 3), 727417, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5146, 242523, F5, 3, 22) (dual of [(242523, 3), 727423, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5146, 242523, F5, 22) (dual of [242523, 242377, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5146, 390669, F5, 22) (dual of [390669, 390523, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5146, 390669, F5, 22) (dual of [390669, 390523, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5146, 242523, F5, 22) (dual of [242523, 242377, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(5146, 242523, F5, 3, 22) (dual of [(242523, 3), 727423, 23]-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.