Information on Result #1718844
Digital (101, 123, 3252)-net over F4, using net defined by OOA based on linear OOA(4123, 3252, F4, 27, 22) (dual of [(3252, 27), 87681, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4123, 13009, F4, 3, 22) (dual of [(13009, 3), 38904, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4123, 13009, F4, 22) (dual of [13009, 12886, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4123, 16422, F4, 22) (dual of [16422, 16299, 23]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4120, 16419, F4, 22) (dual of [16419, 16299, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4120, 16419, F4, 22) (dual of [16419, 16299, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4123, 16422, F4, 22) (dual of [16422, 16299, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4123, 13009, F4, 22) (dual of [13009, 12886, 23]-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.