Information on Result #1719570
Digital (153, 179, 26218)-net over F4, using net defined by OOA based on linear OOA(4179, 26218, F4, 33, 26) (dual of [(26218, 33), 865015, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4179, 131091, F4, 3, 26) (dual of [(131091, 3), 393094, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 131093, F4, 3, 26) (dual of [(131093, 3), 393100, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4179, 131093, F4, 2, 26) (dual of [(131093, 2), 262007, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4179, 262186, F4, 26) (dual of [262186, 262007, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using
- OOA 2-folding [i] based on linear OA(4179, 262186, F4, 26) (dual of [262186, 262007, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4179, 131093, F4, 2, 26) (dual of [(131093, 2), 262007, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4179, 131093, F4, 3, 26) (dual of [(131093, 3), 393100, 27]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.