Information on Result #1534949
Linear OOA(485, 8244, F4, 3, 16) (dual of [(8244, 3), 24647, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(485, 8244, F4, 16) (dual of [8244, 8159, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(485, 16391, F4, 16) (dual of [16391, 16306, 17]-code), using
- 1 times truncation [i] based on linear OA(486, 16392, F4, 17) (dual of [16392, 16306, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(16) ⊂ Ce(14) [i] based on
- 1 times truncation [i] based on linear OA(486, 16392, F4, 17) (dual of [16392, 16306, 18]-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(485, 2747, F4, 21, 16) (dual of [(2747, 21), 57602, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |