Information on Result #1534640
Linear OOA(474, 8200, F4, 3, 14) (dual of [(8200, 3), 24526, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(474, 8200, F4, 2, 14) (dual of [(8200, 2), 16326, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(474, 16400, F4, 14) (dual of [16400, 16326, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(474, 16401, F4, 14) (dual of [16401, 16327, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(43, 17, F4, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(474, 16401, F4, 14) (dual of [16401, 16327, 15]-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(474, 2733, F4, 21, 14) (dual of [(2733, 21), 57319, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |