Information on Result #1644192
Linear OOA(3142, 18245, F3, 5, 22) (dual of [(18245, 5), 91083, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3142, 18245, F3, 3, 22) (dual of [(18245, 3), 54593, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3142, 19686, F3, 3, 22) (dual of [(19686, 3), 58916, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3142, 59058, F3, 22) (dual of [59058, 58916, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code), using
- OOA 3-folding [i] based on linear OA(3142, 59058, F3, 22) (dual of [59058, 58916, 23]-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.