Information on Result #1479112
Linear OOA(4128, 22269, F4, 3, 20) (dual of [(22269, 3), 66679, 21]-NRT-code), using OOA 2-folding based on linear OOA(4128, 44538, F4, 2, 20) (dual of [(44538, 2), 88948, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4128, 44539, F4, 2, 20) (dual of [(44539, 2), 88950, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4128, 44539, F4, 20) (dual of [44539, 44411, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4128, 65575, F4, 20) (dual of [65575, 65447, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(4128, 65575, F4, 20) (dual of [65575, 65447, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4128, 44539, F4, 20) (dual of [44539, 44411, 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.