Information on Result #1714708
Digital (126, 147, 13160)-net over F3, using net defined by OOA based on linear OOA(3147, 13160, F3, 25, 21) (dual of [(13160, 25), 328853, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3147, 26321, F3, 5, 21) (dual of [(26321, 5), 131458, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3147, 26321, F3, 2, 21) (dual of [(26321, 2), 52495, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3147, 29542, F3, 2, 21) (dual of [(29542, 2), 58937, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3147, 59084, F3, 21) (dual of [59084, 58937, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3147, 59085, F3, 21) (dual of [59085, 58938, 22]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3147, 59085, F3, 21) (dual of [59085, 58938, 22]-code), using
- OOA 2-folding [i] based on linear OA(3147, 59084, F3, 21) (dual of [59084, 58937, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(3147, 29542, F3, 2, 21) (dual of [(29542, 2), 58937, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3147, 26321, F3, 2, 21) (dual of [(26321, 2), 52495, 22]-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.