Information on Result #1538360
Linear OOA(4158, 16447, F4, 3, 27) (dual of [(16447, 3), 49183, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4158, 16447, F4, 27) (dual of [16447, 16289, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(17) [i] based on
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(417, 63, F4, 8) (dual of [63, 46, 9]-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(4158, 3289, F4, 33, 27) (dual of [(3289, 33), 108379, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |