Information on Result #1300603
Linear OA(4184, 230, F4, 95) (dual of [230, 46, 96]-code), using construction X with Varšamov bound based on
- linear OA(4183, 228, F4, 95) (dual of [228, 45, 96]-code), using
- concatenation of two codes [i] based on
- linear OA(6423, 38, F64, 23) (dual of [38, 15, 24]-code or 38-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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(6423, 38, F64, 23) (dual of [38, 15, 24]-code or 38-arc in PG(22,64)), using
- concatenation of two codes [i] based on
- linear OA(4183, 229, F4, 94) (dual of [229, 46, 95]-code), using Gilbert–Varšamov bound and bm = 4183 > Vbs−1(k−1) = 144 245084 000677 070129 893784 558059 712944 437473 394461 400947 705536 639978 289095 960645 471435 277439 814814 332127 510920 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4185, 232, F4, 95) (dual of [232, 47, 96]-code) | [i] | Construction X with Varšamov Bound | |