Information on Result #1536040
Linear OOA(4115, 44154, F4, 3, 18) (dual of [(44154, 3), 132347, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4115, 44154, F4, 18) (dual of [44154, 44039, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4115, 65578, F4, 18) (dual of [65578, 65463, 19]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 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(17) ⊂ Ce(12) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4115, 14717, F4, 21, 18) (dual of [(14717, 21), 308942, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |