Information on Result #1452169
Linear OOA(9136, 531483, F9, 2, 24) (dual of [(531483, 2), 1062830, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9136, 531483, F9, 24) (dual of [531483, 531347, 25]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(96, 36, F9, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(23) ⊂ Ce(18) [i] based on
- linear OA(9133, 531480, F9, 23) (dual of [531480, 531347, 24]-code), using Gilbert–Varšamov bound and bm = 9133 > Vbs−1(k−1) = 59940 589274 121044 003760 038745 869408 545298 438463 453529 920868 805717 802276 055575 406621 056398 726556 056947 617169 140776 836614 481401 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 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(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9136, 265741, F9, 3, 24) (dual of [(265741, 3), 797087, 25]-NRT-code) | [i] | OOA Folding | |