Information on Result #1457984
Linear OOA(2737, 666, F27, 2, 17) (dual of [(666, 2), 1295, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2737, 666, F27, 17) (dual of [666, 629, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2737, 743, F27, 17) (dual of [743, 706, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- linear OA(2733, 729, F27, 17) (dual of [729, 696, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2723, 729, F27, 12) (dual of [729, 706, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
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(2737, 166, F27, 18, 17) (dual of [(166, 18), 2951, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |