Information on Result #1720170
Digital (164, 194, 10632)-net over F4, using net defined by OOA based on linear OOA(4194, 10632, F4, 33, 30) (dual of [(10632, 33), 350662, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4194, 53161, F4, 3, 30) (dual of [(53161, 3), 159289, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 53164, F4, 3, 30) (dual of [(53164, 3), 159298, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4194, 53164, F4, 30) (dual of [53164, 52970, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4194, 65601, F4, 30) (dual of [65601, 65407, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4193, 65600, F4, 30) (dual of [65600, 65407, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4193, 65600, F4, 30) (dual of [65600, 65407, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4194, 65601, F4, 30) (dual of [65601, 65407, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4194, 53164, F4, 30) (dual of [53164, 52970, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(4194, 53164, F4, 3, 30) (dual of [(53164, 3), 159298, 31]-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.