Information on Result #1300955
Linear OA(4227, 282, F4, 117) (dual of [282, 55, 118]-code), using construction X with Varšamov bound based on
- linear OA(4226, 280, F4, 117) (dual of [280, 54, 118]-code), using
- 2 times truncation [i] based on linear OA(4228, 282, F4, 119) (dual of [282, 54, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6429, 47, F64, 29) (dual of [47, 18, 30]-code or 47-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6429, 47, F64, 29) (dual of [47, 18, 30]-code or 47-arc in PG(28,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(4228, 282, F4, 119) (dual of [282, 54, 120]-code), using
- linear OA(4226, 281, F4, 116) (dual of [281, 55, 117]-code), using Gilbert–Varšamov bound and bm = 4226 > Vbs−1(k−1) = 10151 971817 076003 548822 858115 812380 424791 005340 523996 739776 869567 371658 902125 211569 652933 822288 771067 259822 653864 201178 192202 620164 864216 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4228, 284, F4, 117) (dual of [284, 56, 118]-code) | [i] | Construction X with Varšamov Bound | |