Information on Result #1534695
Linear OOA(476, 32777, F4, 3, 13) (dual of [(32777, 3), 98255, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(476, 32777, F4, 2, 13) (dual of [(32777, 2), 65478, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(476, 65554, F4, 13) (dual of [65554, 65478, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(476, 65555, F4, 13) (dual of [65555, 65479, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 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(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(476, 65555, F4, 13) (dual of [65555, 65479, 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(476, 16388, F4, 15, 13) (dual of [(16388, 15), 245744, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |