Information on Result #1321560
Linear OA(4123, 155, F4, 64) (dual of [155, 32, 65]-code), using construction X with Varšamov bound based on
- linear OA(4122, 153, F4, 64) (dual of [153, 31, 65]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4120, 150, F4, 64) (dual of [150, 30, 65]-code), using
- 1 times truncation [i] based on linear OA(4121, 151, F4, 65) (dual of [151, 30, 66]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(4121, 151, F4, 65) (dual of [151, 30, 66]-code), using
- linear OA(4120, 151, F4, 62) (dual of [151, 31, 63]-code), using Gilbert–Varšamov bound and bm = 4120 > Vbs−1(k−1) = 1 117711 713697 998520 226308 044808 672006 780732 551162 122300 017717 906552 912624 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 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
- linear OA(4120, 150, F4, 64) (dual of [150, 30, 65]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4122, 154, F4, 63) (dual of [154, 32, 64]-code), using Gilbert–Varšamov bound and bm = 4122 > Vbs−1(k−1) = 23 152424 243133 765489 823281 424657 784295 121605 920760 956046 247183 309582 356736 [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
None.