Information on Result #1621242
Linear OOA(3149, 14772, F3, 5, 21) (dual of [(14772, 5), 73711, 22]-NRT-code), using OOA 2-folding based on linear OOA(3149, 29544, F3, 3, 21) (dual of [(29544, 3), 88483, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3149, 29545, F3, 3, 21) (dual of [(29545, 3), 88486, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 29545, F3, 2, 21) (dual of [(29545, 2), 58941, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3149, 59090, F3, 21) (dual of [59090, 58941, 22]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [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(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(3149, 59090, F3, 21) (dual of [59090, 58941, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3149, 29545, F3, 2, 21) (dual of [(29545, 2), 58941, 22]-NRT-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.