Information on Result #1379477
Linear OOA(1699, 524305, F16, 2, 20) (dual of [(524305, 2), 1048511, 21]-NRT-code), using OOA 2-folding based on linear OA(1699, 1048610, F16, 20) (dual of [1048610, 1048511, 21]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(1698, 1048608, F16, 20) (dual of [1048608, 1048510, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(167, 32, F16, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(1698, 1048609, F16, 19) (dual of [1048609, 1048511, 20]-code), using Gilbert–Varšamov bound and bm = 1698 > Vbs−1(k−1) = 542345 165215 524937 472441 226079 737202 750592 573008 376726 456869 834376 555471 039127 267209 469180 136050 598597 561868 593171 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(1698, 1048608, F16, 20) (dual of [1048608, 1048510, 21]-code), 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
None.