Information on Result #1535241
Linear OOA(494, 522157, F4, 3, 13) (dual of [(522157, 3), 1566377, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(494, 522157, F4, 2, 13) (dual of [(522157, 2), 1044220, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(494, 524298, F4, 2, 13) (dual of [(524298, 2), 1048502, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(494, 1048596, F4, 13) (dual of [1048596, 1048502, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(494, 1048597, F4, 13) (dual of [1048597, 1048503, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(494, 1048597, F4, 13) (dual of [1048597, 1048503, 14]-code), using
- OOA 2-folding [i] based on linear OA(494, 1048596, F4, 13) (dual of [1048596, 1048502, 14]-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(494, 261078, F4, 15, 13) (dual of [(261078, 15), 3916076, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |