Information on Result #3325426
Digital (217, 246, 177172)-net over F3, using 32 times duplication based on digital (215, 244, 177172)-net over F3, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3244, 177172, F3, 3, 29) (dual of [(177172, 3), 531272, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 75, F3, 6) (dual of [75, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-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.