Information on Result #1480660
Linear OOA(4235, 8223, F4, 3, 42) (dual of [(8223, 3), 24434, 43]-NRT-code), using OOA 2-folding based on linear OOA(4235, 16446, F4, 2, 42) (dual of [(16446, 2), 32657, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4235, 16447, F4, 2, 42) (dual of [(16447, 2), 32659, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(32) [i] based on
- linear OA(4218, 16384, F4, 42) (dual of [16384, 16166, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(417, 63, F4, 8) (dual of [63, 46, 9]-code), using
- construction X applied to Ce(41) ⊂ Ce(32) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4235, 16447, F4, 42) (dual of [16447, 16212, 43]-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.