Information on Result #1722666
Digital (103, 118, 651059)-net over F5, using net defined by OOA based on linear OOA(5118, 651059, F5, 21, 15) (dual of [(651059, 21), 13672121, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5118, 1953178, F5, 3, 15) (dual of [(1953178, 3), 5859416, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5118, 1953179, F5, 3, 15) (dual of [(1953179, 3), 5859419, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5118, 1953179, F5, 15) (dual of [1953179, 1953061, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(59, 54, F5, 5) (dual of [54, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 62, F5, 5) (dual of [62, 53, 6]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(59, 62, F5, 5) (dual of [62, 53, 6]-code), using
- construction X applied to Ce(15) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5118, 1953179, F5, 15) (dual of [1953179, 1953061, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(5118, 1953179, F5, 3, 15) (dual of [(1953179, 3), 5859419, 16]-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.