Information on Result #1323712
Linear OA(4171, 16428, F4, 31) (dual of [16428, 16257, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(49, 44, F4, 5) (dual of [44, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-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 OA(4173, 16431, F4, 31) (dual of [16431, 16258, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(4174, 16433, F4, 31) (dual of [16433, 16259, 32]-code) | [i] | ||
| 3 | Linear OA(4175, 16435, F4, 31) (dual of [16435, 16260, 32]-code) | [i] | ||
| 4 | Linear OOA(4171, 8214, F4, 2, 31) (dual of [(8214, 2), 16257, 32]-NRT-code) | [i] | OOA Folding | |