Information on Result #1299968
Linear OA(489, 112, F4, 47) (dual of [112, 23, 48]-code), using construction X with Varšamov bound based on
- linear OA(488, 110, F4, 47) (dual of [110, 22, 48]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(487, 108, F4, 47) (dual of [108, 21, 48]-code), using
- concatenation of two codes [i] based on
- linear OA(6411, 18, F64, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,64)), using
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
- Reed–Solomon code RS(53,64) [i]
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), 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(6411, 18, F64, 11) (dual of [18, 7, 12]-code or 18-arc in PG(10,64)), using
- concatenation of two codes [i] based on
- linear OA(487, 109, F4, 46) (dual of [109, 22, 47]-code), using Gilbert–Varšamov bound and bm = 487 > Vbs−1(k−1) = 21479 825470 583434 542130 682439 726996 695635 201352 572048 [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
- linear OA(487, 108, F4, 47) (dual of [108, 21, 48]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(488, 111, F4, 46) (dual of [111, 23, 47]-code), using Gilbert–Varšamov bound and bm = 488 > Vbs−1(k−1) = 61358 091923 715863 710059 981195 566944 997475 358904 154193 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code) (see above)
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
None.