Information on Result #1492663
Linear OOA(9105, 265740, F9, 3, 19) (dual of [(265740, 3), 797115, 20]-NRT-code), using OOA 2-folding based on linear OOA(9105, 531480, F9, 2, 19) (dual of [(531480, 2), 1062855, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9105, 531480, F9, 19) (dual of [531480, 531375, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(9104, 531479, F9, 18) (dual of [531479, 531375, 19]-code), using Gilbert–Varšamov bound and bm = 9104 > Vbs−1(k−1) = 136 333263 908007 389804 820489 164225 129727 780140 964500 244502 989516 577382 009413 806022 303367 821152 211569 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code), using
- construction X with Varšamov bound [i] based on
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.