Information on Result #1537933
Linear OOA(4151, 2046942, F4, 3, 18) (dual of [(2046942, 3), 6140675, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4151, 2046942, F4, 2, 18) (dual of [(2046942, 2), 4093733, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4151, 2097173, F4, 2, 18) (dual of [(2097173, 2), 4194195, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4151, 4194346, F4, 18) (dual of [4194346, 4194195, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4151, 4194347, F4, 18) (dual of [4194347, 4194196, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4151, 4194347, F4, 18) (dual of [4194347, 4194196, 19]-code), using
- OOA 2-folding [i] based on linear OA(4151, 4194346, F4, 18) (dual of [4194346, 4194195, 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(4151, 682313, F4, 21, 18) (dual of [(682313, 21), 14328422, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |