Information on Result #1538872
Linear OOA(4166, 13274, F4, 3, 30) (dual of [(13274, 3), 39656, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4166, 13274, F4, 30) (dual of [13274, 13108, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4166, 16423, F4, 30) (dual of [16423, 16257, 31]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4162, 16419, F4, 30) (dual of [16419, 16257, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(29) ⊂ Ce(24) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4162, 16419, F4, 30) (dual of [16419, 16257, 31]-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(4166, 2654, F4, 33, 30) (dual of [(2654, 33), 87416, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |