Information on Result #1302501
Linear OA(867, 84, F8, 45) (dual of [84, 17, 46]-code), using construction X with Varšamov bound based on
- linear OA(864, 80, F8, 45) (dual of [80, 16, 46]-code), using
- construction XX applied to Ce(44) ⊂ Ce(36) ⊂ Ce(35) [i] based on
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(849, 64, F8, 37) (dual of [64, 15, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(88, 15, F8, 7) (dual of [15, 7, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(88, 16, F8, 7) (dual of [16, 8, 8]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(44) ⊂ Ce(36) ⊂ Ce(35) [i] based on
- linear OA(864, 81, F8, 42) (dual of [81, 17, 43]-code), using Gilbert–Varšamov bound and bm = 864 > Vbs−1(k−1) = 5468 824579 643969 813690 351801 271309 108220 742261 002640 161146 [i]
- linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using
- dual of repetition code with length 3 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.