Information on Result #1541060
Linear OOA(4197, 13310, F4, 3, 36) (dual of [(13310, 3), 39733, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4197, 13310, F4, 36) (dual of [13310, 13113, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4197, 16419, F4, 36) (dual of [16419, 16222, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(30) [i] based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(36) ⊂ Ce(30) [i] based on
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(4197, 2218, F4, 39, 36) (dual of [(2218, 39), 86305, 37]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |