Information on Result #1534396
Linear OOA(464, 9365, F4, 3, 12) (dual of [(9365, 3), 28031, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(464, 9365, F4, 12) (dual of [9365, 9301, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(464, 16391, F4, 12) (dual of [16391, 16327, 13]-code), using
- 1 times truncation [i] based on linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 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(464, 4682, F4, 15, 12) (dual of [(4682, 15), 70166, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |