Information on Result #1713838
Digital (128, 145, 230656)-net over F3, using net defined by OOA based on linear OOA(3145, 230656, F3, 20, 17) (dual of [(230656, 20), 4612975, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3145, 461313, F3, 4, 17) (dual of [(461313, 4), 1845107, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3145, 461314, F3, 4, 17) (dual of [(461314, 4), 1845111, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3145, 461314, F3, 3, 17) (dual of [(461314, 3), 1383797, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3145, 531445, F3, 3, 17) (dual of [(531445, 3), 1594190, 18]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3144, 531445, F3, 3, 17) (dual of [(531445, 3), 1594191, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3144, 1594335, F3, 17) (dual of [1594335, 1594191, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code), using
- OOA 3-folding [i] based on linear OA(3144, 1594335, F3, 17) (dual of [1594335, 1594191, 18]-code), using
- 31 times duplication [i] based on linear OOA(3144, 531445, F3, 3, 17) (dual of [(531445, 3), 1594191, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3145, 531445, F3, 3, 17) (dual of [(531445, 3), 1594190, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3145, 461314, F3, 3, 17) (dual of [(461314, 3), 1383797, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3145, 461314, F3, 4, 17) (dual of [(461314, 4), 1845111, 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.