Information on Result #1364778
Linear OOA(488, 131089, F4, 2, 12) (dual of [(131089, 2), 262090, 13]-NRT-code), using OOA 2-folding based on linear OA(488, 262178, F4, 12) (dual of [262178, 262090, 13]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(486, 262175, F4, 12) (dual of [262175, 262089, 13]-code), using
- 1 times truncation [i] based on linear OA(487, 262176, F4, 13) (dual of [262176, 262089, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(487, 262176, F4, 13) (dual of [262176, 262089, 14]-code), using
- linear OA(486, 262176, F4, 10) (dual of [262176, 262090, 11]-code), using Gilbert–Varšamov bound and bm = 486 > Vbs−1(k−1) = 317391 348499 115803 012495 448944 882986 828411 850606 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(486, 262175, F4, 12) (dual of [262175, 262089, 13]-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.